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Simplifying (x + -9)(x + 7) = (x + 4)(x + 4) Reorder the terms: (-9 + x)(x + 7) = (x + 4)(x + 4) Reorder the terms: (-9 + x)(7 + x) = (x + 4)(x + 4) Multiply (-9 + x) * (7 + x) (-9(7 + x) + x(7 + x)) = (x + 4)(x + 4) ((7 * -9 + x * -9) + x(7 + x)) = (x + 4)(x + 4) ((-63 + -9x) + x(7 + x)) = (x + 4)(x + 4) (-63 + -9x + (7 * x + x * x)) = (x + 4)(x + 4) (-63 + -9x + (7x + x2)) = (x + 4)(x + 4) Combine like terms: -9x + 7x = -2x (-63 + -2x + x2) = (x + 4)(x + 4) Reorder the terms: -63 + -2x + x2 = (4 + x)(x + 4) Reorder the terms: -63 + -2x + x2 = (4 + x)(4 + x) Multiply (4 + x) * (4 + x) -63 + -2x + x2 = (4(4 + x) + x(4 + x)) -63 + -2x + x2 = ((4 * 4 + x * 4) + x(4 + x)) -63 + -2x + x2 = ((16 + 4x) + x(4 + x)) -63 + -2x + x2 = (16 + 4x + (4 * x + x * x)) -63 + -2x + x2 = (16 + 4x + (4x + x2)) Combine like terms: 4x + 4x = 8x -63 + -2x + x2 = (16 + 8x + x2) Add '-1x2' to each side of the equation. -63 + -2x + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -63 + -2x + 0 = 16 + 8x + x2 + -1x2 -63 + -2x = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -63 + -2x = 16 + 8x + 0 -63 + -2x = 16 + 8x Solving -63 + -2x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -63 + -2x + -8x = 16 + 8x + -8x Combine like terms: -2x + -8x = -10x -63 + -10x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -63 + -10x = 16 + 0 -63 + -10x = 16 Add '63' to each side of the equation. -63 + 63 + -10x = 16 + 63 Combine like terms: -63 + 63 = 0 0 + -10x = 16 + 63 -10x = 16 + 63 Combine like terms: 16 + 63 = 79 -10x = 79 Divide each side by '-10'. x = -7.9 Simplifying x = -7.9
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