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Simplifying 4(3 + -1x) + 7 = -23x (3 * 4 + -1x * 4) + 7 = -23x (12 + -4x) + 7 = -23x Reorder the terms: 12 + 7 + -4x = -23x Combine like terms: 12 + 7 = 19 19 + -4x = -23x Solving 19 + -4x = -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 19 + -4x + 23x = -23x + 23x Combine like terms: -4x + 23x = 19x 19 + 19x = -23x + 23x Combine like terms: -23x + 23x = 0 19 + 19x = 0 Add '-19' to each side of the equation. 19 + -19 + 19x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 19x = 0 + -19 19x = 0 + -19 Combine like terms: 0 + -19 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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