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Simplifying -13x + 5 + -4(x + -1) = -4x + -1(12x + -2) + 4 Reorder the terms: -13x + 5 + -4(-1 + x) = -4x + -1(12x + -2) + 4 -13x + 5 + (-1 * -4 + x * -4) = -4x + -1(12x + -2) + 4 -13x + 5 + (4 + -4x) = -4x + -1(12x + -2) + 4 Reorder the terms: 5 + 4 + -13x + -4x = -4x + -1(12x + -2) + 4 Combine like terms: 5 + 4 = 9 9 + -13x + -4x = -4x + -1(12x + -2) + 4 Combine like terms: -13x + -4x = -17x 9 + -17x = -4x + -1(12x + -2) + 4 Reorder the terms: 9 + -17x = -4x + -1(-2 + 12x) + 4 9 + -17x = -4x + (-2 * -1 + 12x * -1) + 4 9 + -17x = -4x + (2 + -12x) + 4 Reorder the terms: 9 + -17x = 2 + 4 + -4x + -12x Combine like terms: 2 + 4 = 6 9 + -17x = 6 + -4x + -12x Combine like terms: -4x + -12x = -16x 9 + -17x = 6 + -16x Solving 9 + -17x = 6 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 9 + -17x + 16x = 6 + -16x + 16x Combine like terms: -17x + 16x = -1x 9 + -1x = 6 + -16x + 16x Combine like terms: -16x + 16x = 0 9 + -1x = 6 + 0 9 + -1x = 6 Add '-9' to each side of the equation. 9 + -9 + -1x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 6 + -9 -1x = 6 + -9 Combine like terms: 6 + -9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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