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Simplifying 3(2x + -6) = 5(x + 3) + 2x Reorder the terms: 3(-6 + 2x) = 5(x + 3) + 2x (-6 * 3 + 2x * 3) = 5(x + 3) + 2x (-18 + 6x) = 5(x + 3) + 2x Reorder the terms: -18 + 6x = 5(3 + x) + 2x -18 + 6x = (3 * 5 + x * 5) + 2x -18 + 6x = (15 + 5x) + 2x Combine like terms: 5x + 2x = 7x -18 + 6x = 15 + 7x Solving -18 + 6x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 6x + -7x = 15 + 7x + -7x Combine like terms: 6x + -7x = -1x -18 + -1x = 15 + 7x + -7x Combine like terms: 7x + -7x = 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 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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