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Simplifying -3(x + 8) + 4(2x + -2) = 4(x + -2) + -5 Reorder the terms: -3(8 + x) + 4(2x + -2) = 4(x + -2) + -5 (8 * -3 + x * -3) + 4(2x + -2) = 4(x + -2) + -5 (-24 + -3x) + 4(2x + -2) = 4(x + -2) + -5 Reorder the terms: -24 + -3x + 4(-2 + 2x) = 4(x + -2) + -5 -24 + -3x + (-2 * 4 + 2x * 4) = 4(x + -2) + -5 -24 + -3x + (-8 + 8x) = 4(x + -2) + -5 Reorder the terms: -24 + -8 + -3x + 8x = 4(x + -2) + -5 Combine like terms: -24 + -8 = -32 -32 + -3x + 8x = 4(x + -2) + -5 Combine like terms: -3x + 8x = 5x -32 + 5x = 4(x + -2) + -5 Reorder the terms: -32 + 5x = 4(-2 + x) + -5 -32 + 5x = (-2 * 4 + x * 4) + -5 -32 + 5x = (-8 + 4x) + -5 Reorder the terms: -32 + 5x = -8 + -5 + 4x Combine like terms: -8 + -5 = -13 -32 + 5x = -13 + 4x Solving -32 + 5x = -13 + 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. -32 + 5x + -4x = -13 + 4x + -4x Combine like terms: 5x + -4x = 1x -32 + 1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 1x = -13 + 0 -32 + 1x = -13 Add '32' to each side of the equation. -32 + 32 + 1x = -13 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -13 + 32 1x = -13 + 32 Combine like terms: -13 + 32 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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