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Simplifying 3(5x + -4) + -7(2x + -3) = 3(x + 1) + 5 Reorder the terms: 3(-4 + 5x) + -7(2x + -3) = 3(x + 1) + 5 (-4 * 3 + 5x * 3) + -7(2x + -3) = 3(x + 1) + 5 (-12 + 15x) + -7(2x + -3) = 3(x + 1) + 5 Reorder the terms: -12 + 15x + -7(-3 + 2x) = 3(x + 1) + 5 -12 + 15x + (-3 * -7 + 2x * -7) = 3(x + 1) + 5 -12 + 15x + (21 + -14x) = 3(x + 1) + 5 Reorder the terms: -12 + 21 + 15x + -14x = 3(x + 1) + 5 Combine like terms: -12 + 21 = 9 9 + 15x + -14x = 3(x + 1) + 5 Combine like terms: 15x + -14x = 1x 9 + 1x = 3(x + 1) + 5 Reorder the terms: 9 + 1x = 3(1 + x) + 5 9 + 1x = (1 * 3 + x * 3) + 5 9 + 1x = (3 + 3x) + 5 Reorder the terms: 9 + 1x = 3 + 5 + 3x Combine like terms: 3 + 5 = 8 9 + 1x = 8 + 3x Solving 9 + 1x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 1x + -3x = 8 + 3x + -3x Combine like terms: 1x + -3x = -2x 9 + -2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -2x = 8 + 0 9 + -2x = 8 Add '-9' to each side of the equation. 9 + -9 + -2x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 8 + -9 -2x = 8 + -9 Combine like terms: 8 + -9 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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