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