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Simplifying -3(x + -7) + -1(-4x + 5) = -6x + 8x Reorder the terms: -3(-7 + x) + -1(-4x + 5) = -6x + 8x (-7 * -3 + x * -3) + -1(-4x + 5) = -6x + 8x (21 + -3x) + -1(-4x + 5) = -6x + 8x Reorder the terms: 21 + -3x + -1(5 + -4x) = -6x + 8x 21 + -3x + (5 * -1 + -4x * -1) = -6x + 8x 21 + -3x + (-5 + 4x) = -6x + 8x Reorder the terms: 21 + -5 + -3x + 4x = -6x + 8x Combine like terms: 21 + -5 = 16 16 + -3x + 4x = -6x + 8x Combine like terms: -3x + 4x = 1x 16 + 1x = -6x + 8x Combine like terms: -6x + 8x = 2x 16 + 1x = 2x Solving 16 + 1x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + 1x + -2x = 2x + -2x Combine like terms: 1x + -2x = -1x 16 + -1x = 2x + -2x Combine like terms: 2x + -2x = 0 16 + -1x = 0 Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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