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Simplifying 3(6x + -5) + -3(3x + -13) = 4(2x + 5) + -18 Reorder the terms: 3(-5 + 6x) + -3(3x + -13) = 4(2x + 5) + -18 (-5 * 3 + 6x * 3) + -3(3x + -13) = 4(2x + 5) + -18 (-15 + 18x) + -3(3x + -13) = 4(2x + 5) + -18 Reorder the terms: -15 + 18x + -3(-13 + 3x) = 4(2x + 5) + -18 -15 + 18x + (-13 * -3 + 3x * -3) = 4(2x + 5) + -18 -15 + 18x + (39 + -9x) = 4(2x + 5) + -18 Reorder the terms: -15 + 39 + 18x + -9x = 4(2x + 5) + -18 Combine like terms: -15 + 39 = 24 24 + 18x + -9x = 4(2x + 5) + -18 Combine like terms: 18x + -9x = 9x 24 + 9x = 4(2x + 5) + -18 Reorder the terms: 24 + 9x = 4(5 + 2x) + -18 24 + 9x = (5 * 4 + 2x * 4) + -18 24 + 9x = (20 + 8x) + -18 Reorder the terms: 24 + 9x = 20 + -18 + 8x Combine like terms: 20 + -18 = 2 24 + 9x = 2 + 8x Solving 24 + 9x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 24 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 1x = 2 + 0 24 + 1x = 2 Add '-24' to each side of the equation. 24 + -24 + 1x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 2 + -24 1x = 2 + -24 Combine like terms: 2 + -24 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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