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Simplifying 4(2x + -3) = 7 + -5(6x + 2) Reorder the terms: 4(-3 + 2x) = 7 + -5(6x + 2) (-3 * 4 + 2x * 4) = 7 + -5(6x + 2) (-12 + 8x) = 7 + -5(6x + 2) Reorder the terms: -12 + 8x = 7 + -5(2 + 6x) -12 + 8x = 7 + (2 * -5 + 6x * -5) -12 + 8x = 7 + (-10 + -30x) Combine like terms: 7 + -10 = -3 -12 + 8x = -3 + -30x Solving -12 + 8x = -3 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -12 + 8x + 30x = -3 + -30x + 30x Combine like terms: 8x + 30x = 38x -12 + 38x = -3 + -30x + 30x Combine like terms: -30x + 30x = 0 -12 + 38x = -3 + 0 -12 + 38x = -3 Add '12' to each side of the equation. -12 + 12 + 38x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 38x = -3 + 12 38x = -3 + 12 Combine like terms: -3 + 12 = 9 38x = 9 Divide each side by '38'. x = 0.2368421053 Simplifying x = 0.2368421053
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