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Simplifying 6(2x + -3) + -5(3x + 4) = 2(x + 1) Reorder the terms: 6(-3 + 2x) + -5(3x + 4) = 2(x + 1) (-3 * 6 + 2x * 6) + -5(3x + 4) = 2(x + 1) (-18 + 12x) + -5(3x + 4) = 2(x + 1) Reorder the terms: -18 + 12x + -5(4 + 3x) = 2(x + 1) -18 + 12x + (4 * -5 + 3x * -5) = 2(x + 1) -18 + 12x + (-20 + -15x) = 2(x + 1) Reorder the terms: -18 + -20 + 12x + -15x = 2(x + 1) Combine like terms: -18 + -20 = -38 -38 + 12x + -15x = 2(x + 1) Combine like terms: 12x + -15x = -3x -38 + -3x = 2(x + 1) Reorder the terms: -38 + -3x = 2(1 + x) -38 + -3x = (1 * 2 + x * 2) -38 + -3x = (2 + 2x) Solving -38 + -3x = 2 + 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. -38 + -3x + -2x = 2 + 2x + -2x Combine like terms: -3x + -2x = -5x -38 + -5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + -5x = 2 + 0 -38 + -5x = 2 Add '38' to each side of the equation. -38 + 38 + -5x = 2 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 2 + 38 -5x = 2 + 38 Combine like terms: 2 + 38 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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