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Simplifying 4(2x + -3) = -1(2 + 3x) + 5 Reorder the terms: 4(-3 + 2x) = -1(2 + 3x) + 5 (-3 * 4 + 2x * 4) = -1(2 + 3x) + 5 (-12 + 8x) = -1(2 + 3x) + 5 -12 + 8x = (2 * -1 + 3x * -1) + 5 -12 + 8x = (-2 + -3x) + 5 Reorder the terms: -12 + 8x = -2 + 5 + -3x Combine like terms: -2 + 5 = 3 -12 + 8x = 3 + -3x Solving -12 + 8x = 3 + -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. -12 + 8x + 3x = 3 + -3x + 3x Combine like terms: 8x + 3x = 11x -12 + 11x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 11x = 3 + 0 -12 + 11x = 3 Add '12' to each side of the equation. -12 + 12 + 11x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 3 + 12 11x = 3 + 12 Combine like terms: 3 + 12 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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