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Simplifying -23 = 4(3x + -7) + -1(8x + -5) Reorder the terms: -23 = 4(-7 + 3x) + -1(8x + -5) -23 = (-7 * 4 + 3x * 4) + -1(8x + -5) -23 = (-28 + 12x) + -1(8x + -5) Reorder the terms: -23 = -28 + 12x + -1(-5 + 8x) -23 = -28 + 12x + (-5 * -1 + 8x * -1) -23 = -28 + 12x + (5 + -8x) Reorder the terms: -23 = -28 + 5 + 12x + -8x Combine like terms: -28 + 5 = -23 -23 = -23 + 12x + -8x Combine like terms: 12x + -8x = 4x -23 = -23 + 4x Add '23' to each side of the equation. -23 + 23 = -23 + 23 + 4x Combine like terms: -23 + 23 = 0 0 = -23 + 23 + 4x Combine like terms: -23 + 23 = 0 0 = 0 + 4x 0 = 4x Solving 0 = 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. 0 + -4x = 4x + -4x Remove the zero: -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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