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Simplifying (x + -1) * 7 + -1(x + 1) * 9 = 4(x + 2) Reorder the terms: (-1 + x) * 7 + -1(x + 1) * 9 = 4(x + 2) Reorder the terms for easier multiplication: 7(-1 + x) + -1(x + 1) * 9 = 4(x + 2) (-1 * 7 + x * 7) + -1(x + 1) * 9 = 4(x + 2) (-7 + 7x) + -1(x + 1) * 9 = 4(x + 2) Reorder the terms: -7 + 7x + -1(1 + x) * 9 = 4(x + 2) Reorder the terms for easier multiplication: -7 + 7x + -1 * 9(1 + x) = 4(x + 2) Multiply -1 * 9 -7 + 7x + -9(1 + x) = 4(x + 2) -7 + 7x + (1 * -9 + x * -9) = 4(x + 2) -7 + 7x + (-9 + -9x) = 4(x + 2) Reorder the terms: -7 + -9 + 7x + -9x = 4(x + 2) Combine like terms: -7 + -9 = -16 -16 + 7x + -9x = 4(x + 2) Combine like terms: 7x + -9x = -2x -16 + -2x = 4(x + 2) Reorder the terms: -16 + -2x = 4(2 + x) -16 + -2x = (2 * 4 + x * 4) -16 + -2x = (8 + 4x) Solving -16 + -2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x -16 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -6x = 8 + 0 -16 + -6x = 8 Add '16' to each side of the equation. -16 + 16 + -6x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 8 + 16 -6x = 8 + 16 Combine like terms: 8 + 16 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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