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Simplifying 12(3x + -4) = 2(x + 1) Reorder the terms: 12(-4 + 3x) = 2(x + 1) (-4 * 12 + 3x * 12) = 2(x + 1) (-48 + 36x) = 2(x + 1) Reorder the terms: -48 + 36x = 2(1 + x) -48 + 36x = (1 * 2 + x * 2) -48 + 36x = (2 + 2x) Solving -48 + 36x = 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. -48 + 36x + -2x = 2 + 2x + -2x Combine like terms: 36x + -2x = 34x -48 + 34x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -48 + 34x = 2 + 0 -48 + 34x = 2 Add '48' to each side of the equation. -48 + 48 + 34x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 34x = 2 + 48 34x = 2 + 48 Combine like terms: 2 + 48 = 50 34x = 50 Divide each side by '34'. x = 1.470588235 Simplifying x = 1.470588235
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