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Simplifying 4(5x + -1) + -2(2x + -11) = 15x + 15 Reorder the terms: 4(-1 + 5x) + -2(2x + -11) = 15x + 15 (-1 * 4 + 5x * 4) + -2(2x + -11) = 15x + 15 (-4 + 20x) + -2(2x + -11) = 15x + 15 Reorder the terms: -4 + 20x + -2(-11 + 2x) = 15x + 15 -4 + 20x + (-11 * -2 + 2x * -2) = 15x + 15 -4 + 20x + (22 + -4x) = 15x + 15 Reorder the terms: -4 + 22 + 20x + -4x = 15x + 15 Combine like terms: -4 + 22 = 18 18 + 20x + -4x = 15x + 15 Combine like terms: 20x + -4x = 16x 18 + 16x = 15x + 15 Reorder the terms: 18 + 16x = 15 + 15x Solving 18 + 16x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 16x + -15x = 15 + 15x + -15x Combine like terms: 16x + -15x = 1x 18 + 1x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 1x = 15 + 0 18 + 1x = 15 Add '-18' to each side of the equation. 18 + -18 + 1x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 15 + -18 1x = 15 + -18 Combine like terms: 15 + -18 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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