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Simplifying 2(x2 + -19) = (2x + 7)(x + -4) Reorder the terms: 2(-19 + x2) = (2x + 7)(x + -4) (-19 * 2 + x2 * 2) = (2x + 7)(x + -4) (-38 + 2x2) = (2x + 7)(x + -4) Reorder the terms: -38 + 2x2 = (7 + 2x)(x + -4) Reorder the terms: -38 + 2x2 = (7 + 2x)(-4 + x) Multiply (7 + 2x) * (-4 + x) -38 + 2x2 = (7(-4 + x) + 2x * (-4 + x)) -38 + 2x2 = ((-4 * 7 + x * 7) + 2x * (-4 + x)) -38 + 2x2 = ((-28 + 7x) + 2x * (-4 + x)) -38 + 2x2 = (-28 + 7x + (-4 * 2x + x * 2x)) -38 + 2x2 = (-28 + 7x + (-8x + 2x2)) Combine like terms: 7x + -8x = -1x -38 + 2x2 = (-28 + -1x + 2x2) Add '-2x2' to each side of the equation. -38 + 2x2 + -2x2 = -28 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -38 + 0 = -28 + -1x + 2x2 + -2x2 -38 = -28 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -38 = -28 + -1x + 0 -38 = -28 + -1x Solving -38 = -28 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -38 + x = -28 + -1x + x Combine like terms: -1x + x = 0 -38 + x = -28 + 0 -38 + x = -28 Add '38' to each side of the equation. -38 + 38 + x = -28 + 38 Combine like terms: -38 + 38 = 0 0 + x = -28 + 38 x = -28 + 38 Combine like terms: -28 + 38 = 10 x = 10 Simplifying x = 10
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