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Simplifying 3(5x + -5) + -3(2x + -6) = 2(4x + 3) + -1 Reorder the terms: 3(-5 + 5x) + -3(2x + -6) = 2(4x + 3) + -1 (-5 * 3 + 5x * 3) + -3(2x + -6) = 2(4x + 3) + -1 (-15 + 15x) + -3(2x + -6) = 2(4x + 3) + -1 Reorder the terms: -15 + 15x + -3(-6 + 2x) = 2(4x + 3) + -1 -15 + 15x + (-6 * -3 + 2x * -3) = 2(4x + 3) + -1 -15 + 15x + (18 + -6x) = 2(4x + 3) + -1 Reorder the terms: -15 + 18 + 15x + -6x = 2(4x + 3) + -1 Combine like terms: -15 + 18 = 3 3 + 15x + -6x = 2(4x + 3) + -1 Combine like terms: 15x + -6x = 9x 3 + 9x = 2(4x + 3) + -1 Reorder the terms: 3 + 9x = 2(3 + 4x) + -1 3 + 9x = (3 * 2 + 4x * 2) + -1 3 + 9x = (6 + 8x) + -1 Reorder the terms: 3 + 9x = 6 + -1 + 8x Combine like terms: 6 + -1 = 5 3 + 9x = 5 + 8x Solving 3 + 9x = 5 + 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. 3 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x 3 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 1x = 5 + 0 3 + 1x = 5 Add '-3' to each side of the equation. 3 + -3 + 1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 5 + -3 1x = 5 + -3 Combine like terms: 5 + -3 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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