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Simplifying 4(4x + -2) + 13 = 6(x + -1) + -1(5x + 4) Reorder the terms: 4(-2 + 4x) + 13 = 6(x + -1) + -1(5x + 4) (-2 * 4 + 4x * 4) + 13 = 6(x + -1) + -1(5x + 4) (-8 + 16x) + 13 = 6(x + -1) + -1(5x + 4) Reorder the terms: -8 + 13 + 16x = 6(x + -1) + -1(5x + 4) Combine like terms: -8 + 13 = 5 5 + 16x = 6(x + -1) + -1(5x + 4) Reorder the terms: 5 + 16x = 6(-1 + x) + -1(5x + 4) 5 + 16x = (-1 * 6 + x * 6) + -1(5x + 4) 5 + 16x = (-6 + 6x) + -1(5x + 4) Reorder the terms: 5 + 16x = -6 + 6x + -1(4 + 5x) 5 + 16x = -6 + 6x + (4 * -1 + 5x * -1) 5 + 16x = -6 + 6x + (-4 + -5x) Reorder the terms: 5 + 16x = -6 + -4 + 6x + -5x Combine like terms: -6 + -4 = -10 5 + 16x = -10 + 6x + -5x Combine like terms: 6x + -5x = 1x 5 + 16x = -10 + 1x Solving 5 + 16x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 16x + -1x = -10 + 1x + -1x Combine like terms: 16x + -1x = 15x 5 + 15x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 15x = -10 + 0 5 + 15x = -10 Add '-5' to each side of the equation. 5 + -5 + 15x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -10 + -5 15x = -10 + -5 Combine like terms: -10 + -5 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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