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Simplifying 3(2x + -1) + 5 = -2x + -3(x + 4) Reorder the terms: 3(-1 + 2x) + 5 = -2x + -3(x + 4) (-1 * 3 + 2x * 3) + 5 = -2x + -3(x + 4) (-3 + 6x) + 5 = -2x + -3(x + 4) Reorder the terms: -3 + 5 + 6x = -2x + -3(x + 4) Combine like terms: -3 + 5 = 2 2 + 6x = -2x + -3(x + 4) Reorder the terms: 2 + 6x = -2x + -3(4 + x) 2 + 6x = -2x + (4 * -3 + x * -3) 2 + 6x = -2x + (-12 + -3x) Reorder the terms: 2 + 6x = -12 + -2x + -3x Combine like terms: -2x + -3x = -5x 2 + 6x = -12 + -5x Solving 2 + 6x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 6x + 5x = -12 + -5x + 5x Combine like terms: 6x + 5x = 11x 2 + 11x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 11x = -12 + 0 2 + 11x = -12 Add '-2' to each side of the equation. 2 + -2 + 11x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = -12 + -2 11x = -12 + -2 Combine like terms: -12 + -2 = -14 11x = -14 Divide each side by '11'. x = -1.272727273 Simplifying x = -1.272727273
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