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Simplifying 15 + -2(5 + -3x) = 4(x + -3) + 13 15 + (5 * -2 + -3x * -2) = 4(x + -3) + 13 15 + (-10 + 6x) = 4(x + -3) + 13 Combine like terms: 15 + -10 = 5 5 + 6x = 4(x + -3) + 13 Reorder the terms: 5 + 6x = 4(-3 + x) + 13 5 + 6x = (-3 * 4 + x * 4) + 13 5 + 6x = (-12 + 4x) + 13 Reorder the terms: 5 + 6x = -12 + 13 + 4x Combine like terms: -12 + 13 = 1 5 + 6x = 1 + 4x Solving 5 + 6x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = 1 + 0 5 + 2x = 1 Add '-5' to each side of the equation. 5 + -5 + 2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 1 + -5 2x = 1 + -5 Combine like terms: 1 + -5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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