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Simplifying 4(x + -2) + -1(5x + -9) = 2(3x + -1) + -18 Reorder the terms: 4(-2 + x) + -1(5x + -9) = 2(3x + -1) + -18 (-2 * 4 + x * 4) + -1(5x + -9) = 2(3x + -1) + -18 (-8 + 4x) + -1(5x + -9) = 2(3x + -1) + -18 Reorder the terms: -8 + 4x + -1(-9 + 5x) = 2(3x + -1) + -18 -8 + 4x + (-9 * -1 + 5x * -1) = 2(3x + -1) + -18 -8 + 4x + (9 + -5x) = 2(3x + -1) + -18 Reorder the terms: -8 + 9 + 4x + -5x = 2(3x + -1) + -18 Combine like terms: -8 + 9 = 1 1 + 4x + -5x = 2(3x + -1) + -18 Combine like terms: 4x + -5x = -1x 1 + -1x = 2(3x + -1) + -18 Reorder the terms: 1 + -1x = 2(-1 + 3x) + -18 1 + -1x = (-1 * 2 + 3x * 2) + -18 1 + -1x = (-2 + 6x) + -18 Reorder the terms: 1 + -1x = -2 + -18 + 6x Combine like terms: -2 + -18 = -20 1 + -1x = -20 + 6x Solving 1 + -1x = -20 + 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. 1 + -1x + -6x = -20 + 6x + -6x Combine like terms: -1x + -6x = -7x 1 + -7x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -7x = -20 + 0 1 + -7x = -20 Add '-1' to each side of the equation. 1 + -1 + -7x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -20 + -1 -7x = -20 + -1 Combine like terms: -20 + -1 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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