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Simplifying -3x + 23 = 5 + -2(x + -4) Reorder the terms: 23 + -3x = 5 + -2(x + -4) Reorder the terms: 23 + -3x = 5 + -2(-4 + x) 23 + -3x = 5 + (-4 * -2 + x * -2) 23 + -3x = 5 + (8 + -2x) Combine like terms: 5 + 8 = 13 23 + -3x = 13 + -2x Solving 23 + -3x = 13 + -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. 23 + -3x + 2x = 13 + -2x + 2x Combine like terms: -3x + 2x = -1x 23 + -1x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + -1x = 13 + 0 23 + -1x = 13 Add '-23' to each side of the equation. 23 + -23 + -1x = 13 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 13 + -23 -1x = 13 + -23 Combine like terms: 13 + -23 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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