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Simplifying 12(x + -2) + 15 = 4x + -23 Reorder the terms: 12(-2 + x) + 15 = 4x + -23 (-2 * 12 + x * 12) + 15 = 4x + -23 (-24 + 12x) + 15 = 4x + -23 Reorder the terms: -24 + 15 + 12x = 4x + -23 Combine like terms: -24 + 15 = -9 -9 + 12x = 4x + -23 Reorder the terms: -9 + 12x = -23 + 4x Solving -9 + 12x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 12x + -4x = -23 + 4x + -4x Combine like terms: 12x + -4x = 8x -9 + 8x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 8x = -23 + 0 -9 + 8x = -23 Add '9' to each side of the equation. -9 + 9 + 8x = -23 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -23 + 9 8x = -23 + 9 Combine like terms: -23 + 9 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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