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Simplifying 2(x + -1) + -3(2x + -5) = 15 + -5(6x + 1) Reorder the terms: 2(-1 + x) + -3(2x + -5) = 15 + -5(6x + 1) (-1 * 2 + x * 2) + -3(2x + -5) = 15 + -5(6x + 1) (-2 + 2x) + -3(2x + -5) = 15 + -5(6x + 1) Reorder the terms: -2 + 2x + -3(-5 + 2x) = 15 + -5(6x + 1) -2 + 2x + (-5 * -3 + 2x * -3) = 15 + -5(6x + 1) -2 + 2x + (15 + -6x) = 15 + -5(6x + 1) Reorder the terms: -2 + 15 + 2x + -6x = 15 + -5(6x + 1) Combine like terms: -2 + 15 = 13 13 + 2x + -6x = 15 + -5(6x + 1) Combine like terms: 2x + -6x = -4x 13 + -4x = 15 + -5(6x + 1) Reorder the terms: 13 + -4x = 15 + -5(1 + 6x) 13 + -4x = 15 + (1 * -5 + 6x * -5) 13 + -4x = 15 + (-5 + -30x) Combine like terms: 15 + -5 = 10 13 + -4x = 10 + -30x Solving 13 + -4x = 10 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 13 + -4x + 30x = 10 + -30x + 30x Combine like terms: -4x + 30x = 26x 13 + 26x = 10 + -30x + 30x Combine like terms: -30x + 30x = 0 13 + 26x = 10 + 0 13 + 26x = 10 Add '-13' to each side of the equation. 13 + -13 + 26x = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 26x = 10 + -13 26x = 10 + -13 Combine like terms: 10 + -13 = -3 26x = -3 Divide each side by '26'. x = -0.1153846154 Simplifying x = -0.1153846154
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