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Simplifying 1 + -8x + -5x = -4(1 + -4x) + -7(1 + 4x) Combine like terms: -8x + -5x = -13x 1 + -13x = -4(1 + -4x) + -7(1 + 4x) 1 + -13x = (1 * -4 + -4x * -4) + -7(1 + 4x) 1 + -13x = (-4 + 16x) + -7(1 + 4x) 1 + -13x = -4 + 16x + (1 * -7 + 4x * -7) 1 + -13x = -4 + 16x + (-7 + -28x) Reorder the terms: 1 + -13x = -4 + -7 + 16x + -28x Combine like terms: -4 + -7 = -11 1 + -13x = -11 + 16x + -28x Combine like terms: 16x + -28x = -12x 1 + -13x = -11 + -12x Solving 1 + -13x = -11 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 1 + -13x + 12x = -11 + -12x + 12x Combine like terms: -13x + 12x = -1x 1 + -1x = -11 + -12x + 12x Combine like terms: -12x + 12x = 0 1 + -1x = -11 + 0 1 + -1x = -11 Add '-1' to each side of the equation. 1 + -1 + -1x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -11 + -1 -1x = -11 + -1 Combine like terms: -11 + -1 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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