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Simplifying 5(x + 2) + -3 = 2x + -3(4 + x) Reorder the terms: 5(2 + x) + -3 = 2x + -3(4 + x) (2 * 5 + x * 5) + -3 = 2x + -3(4 + x) (10 + 5x) + -3 = 2x + -3(4 + x) Reorder the terms: 10 + -3 + 5x = 2x + -3(4 + x) Combine like terms: 10 + -3 = 7 7 + 5x = 2x + -3(4 + x) 7 + 5x = 2x + (4 * -3 + x * -3) 7 + 5x = 2x + (-12 + -3x) Reorder the terms: 7 + 5x = -12 + 2x + -3x Combine like terms: 2x + -3x = -1x 7 + 5x = -12 + -1x Solving 7 + 5x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 5x + x = -12 + -1x + x Combine like terms: 5x + x = 6x 7 + 6x = -12 + -1x + x Combine like terms: -1x + x = 0 7 + 6x = -12 + 0 7 + 6x = -12 Add '-7' to each side of the equation. 7 + -7 + 6x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -12 + -7 6x = -12 + -7 Combine like terms: -12 + -7 = -19 6x = -19 Divide each side by '6'. x = -3.166666667 Simplifying x = -3.166666667
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