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Simplifying 4x + -1(x + -15) = 6(x + -2) + -6 Reorder the terms: 4x + -1(-15 + x) = 6(x + -2) + -6 4x + (-15 * -1 + x * -1) = 6(x + -2) + -6 4x + (15 + -1x) = 6(x + -2) + -6 Reorder the terms: 15 + 4x + -1x = 6(x + -2) + -6 Combine like terms: 4x + -1x = 3x 15 + 3x = 6(x + -2) + -6 Reorder the terms: 15 + 3x = 6(-2 + x) + -6 15 + 3x = (-2 * 6 + x * 6) + -6 15 + 3x = (-12 + 6x) + -6 Reorder the terms: 15 + 3x = -12 + -6 + 6x Combine like terms: -12 + -6 = -18 15 + 3x = -18 + 6x Solving 15 + 3x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = -18 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = -18 + 0 15 + -3x = -18 Add '-15' to each side of the equation. 15 + -15 + -3x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -18 + -15 -3x = -18 + -15 Combine like terms: -18 + -15 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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