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Simplifying 23 = (x + -4) + (3x + -7) + 2(2x + 5) Reorder the terms: 23 = (-4 + x) + (3x + -7) + 2(2x + 5) Remove parenthesis around (-4 + x) 23 = -4 + x + (3x + -7) + 2(2x + 5) Reorder the terms: 23 = -4 + x + (-7 + 3x) + 2(2x + 5) Remove parenthesis around (-7 + 3x) 23 = -4 + x + -7 + 3x + 2(2x + 5) Reorder the terms: 23 = -4 + x + -7 + 3x + 2(5 + 2x) 23 = -4 + x + -7 + 3x + (5 * 2 + 2x * 2) 23 = -4 + x + -7 + 3x + (10 + 4x) Reorder the terms: 23 = -4 + -7 + 10 + x + 3x + 4x Combine like terms: -4 + -7 = -11 23 = -11 + 10 + x + 3x + 4x Combine like terms: -11 + 10 = -1 23 = -1 + x + 3x + 4x Combine like terms: x + 3x = 4x 23 = -1 + 4x + 4x Combine like terms: 4x + 4x = 8x 23 = -1 + 8x Solving 23 = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + -8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -8x = -1 + 0 23 + -8x = -1 Add '-23' to each side of the equation. 23 + -23 + -8x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -1 + -23 -8x = -1 + -23 Combine like terms: -1 + -23 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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