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Simplifying -4(x + 3) + -2(-4x + -4) = 3(x + -7) + 2 Reorder the terms: -4(3 + x) + -2(-4x + -4) = 3(x + -7) + 2 (3 * -4 + x * -4) + -2(-4x + -4) = 3(x + -7) + 2 (-12 + -4x) + -2(-4x + -4) = 3(x + -7) + 2 Reorder the terms: -12 + -4x + -2(-4 + -4x) = 3(x + -7) + 2 -12 + -4x + (-4 * -2 + -4x * -2) = 3(x + -7) + 2 -12 + -4x + (8 + 8x) = 3(x + -7) + 2 Reorder the terms: -12 + 8 + -4x + 8x = 3(x + -7) + 2 Combine like terms: -12 + 8 = -4 -4 + -4x + 8x = 3(x + -7) + 2 Combine like terms: -4x + 8x = 4x -4 + 4x = 3(x + -7) + 2 Reorder the terms: -4 + 4x = 3(-7 + x) + 2 -4 + 4x = (-7 * 3 + x * 3) + 2 -4 + 4x = (-21 + 3x) + 2 Reorder the terms: -4 + 4x = -21 + 2 + 3x Combine like terms: -21 + 2 = -19 -4 + 4x = -19 + 3x Solving -4 + 4x = -19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 4x + -3x = -19 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = -19 + 0 -4 + 1x = -19 Add '4' to each side of the equation. -4 + 4 + 1x = -19 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -19 + 4 1x = -19 + 4 Combine like terms: -19 + 4 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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