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Simplifying -4 + -1(15x + 6) + 20 = 8 + x + -1(16 + -2) Reorder the terms: -4 + -1(6 + 15x) + 20 = 8 + x + -1(16 + -2) -4 + (6 * -1 + 15x * -1) + 20 = 8 + x + -1(16 + -2) -4 + (-6 + -15x) + 20 = 8 + x + -1(16 + -2) Reorder the terms: -4 + -6 + 20 + -15x = 8 + x + -1(16 + -2) Combine like terms: -4 + -6 = -10 -10 + 20 + -15x = 8 + x + -1(16 + -2) Combine like terms: -10 + 20 = 10 10 + -15x = 8 + x + -1(16 + -2) Combine like terms: 16 + -2 = 14 10 + -15x = 8 + x + -1(14) Multiply -1 * 14 10 + -15x = 8 + x + -14 Reorder the terms: 10 + -15x = 8 + -14 + x Combine like terms: 8 + -14 = -6 10 + -15x = -6 + x Solving 10 + -15x = -6 + x 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. 10 + -15x + -1x = -6 + x + -1x Combine like terms: -15x + -1x = -16x 10 + -16x = -6 + x + -1x Combine like terms: x + -1x = 0 10 + -16x = -6 + 0 10 + -16x = -6 Add '-10' to each side of the equation. 10 + -10 + -16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = -6 + -10 -16x = -6 + -10 Combine like terms: -6 + -10 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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