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Simplifying 4(2x + -5) + -1(-6) = 5x + 2x + -1(-12) Reorder the terms: 4(-5 + 2x) + -1(-6) = 5x + 2x + -1(-12) (-5 * 4 + 2x * 4) + -1(-6) = 5x + 2x + -1(-12) (-20 + 8x) + -1(-6) = 5x + 2x + -1(-12) Multiply -1 * -6 -20 + 8x + 6 = 5x + 2x + -1(-12) Reorder the terms: -20 + 6 + 8x = 5x + 2x + -1(-12) Combine like terms: -20 + 6 = -14 -14 + 8x = 5x + 2x + -1(-12) Multiply -1 * -12 -14 + 8x = 5x + 2x + 12 Reorder the terms: -14 + 8x = 12 + 5x + 2x Combine like terms: 5x + 2x = 7x -14 + 8x = 12 + 7x Solving -14 + 8x = 12 + 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. -14 + 8x + -7x = 12 + 7x + -7x Combine like terms: 8x + -7x = 1x -14 + 1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 1x = 12 + 0 -14 + 1x = 12 Add '14' to each side of the equation. -14 + 14 + 1x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 12 + 14 1x = 12 + 14 Combine like terms: 12 + 14 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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