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Simplifying -12x + 3(x + -5) + 8x = 7x + -23 Reorder the terms: -12x + 3(-5 + x) + 8x = 7x + -23 -12x + (-5 * 3 + x * 3) + 8x = 7x + -23 -12x + (-15 + 3x) + 8x = 7x + -23 Reorder the terms: -15 + -12x + 3x + 8x = 7x + -23 Combine like terms: -12x + 3x = -9x -15 + -9x + 8x = 7x + -23 Combine like terms: -9x + 8x = -1x -15 + -1x = 7x + -23 Reorder the terms: -15 + -1x = -23 + 7x Solving -15 + -1x = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + -1x + -7x = -23 + 7x + -7x Combine like terms: -1x + -7x = -8x -15 + -8x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -8x = -23 + 0 -15 + -8x = -23 Add '15' to each side of the equation. -15 + 15 + -8x = -23 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = -23 + 15 -8x = -23 + 15 Combine like terms: -23 + 15 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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