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Simplifying 4 + -1(2x + -3) = 3(x + 2) * 4 Reorder the terms: 4 + -1(-3 + 2x) = 3(x + 2) * 4 4 + (-3 * -1 + 2x * -1) = 3(x + 2) * 4 4 + (3 + -2x) = 3(x + 2) * 4 Combine like terms: 4 + 3 = 7 7 + -2x = 3(x + 2) * 4 Reorder the terms: 7 + -2x = 3(2 + x) * 4 Reorder the terms for easier multiplication: 7 + -2x = 3 * 4(2 + x) Multiply 3 * 4 7 + -2x = 12(2 + x) 7 + -2x = (2 * 12 + x * 12) 7 + -2x = (24 + 12x) Solving 7 + -2x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + -2x + -12x = 24 + 12x + -12x Combine like terms: -2x + -12x = -14x 7 + -14x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -14x = 24 + 0 7 + -14x = 24 Add '-7' to each side of the equation. 7 + -7 + -14x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 24 + -7 -14x = 24 + -7 Combine like terms: 24 + -7 = 17 -14x = 17 Divide each side by '-14'. x = -1.214285714 Simplifying x = -1.214285714
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