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Simplifying -4(2x + -6) + -5x = 4(2x + 1) + -1 Reorder the terms: -4(-6 + 2x) + -5x = 4(2x + 1) + -1 (-6 * -4 + 2x * -4) + -5x = 4(2x + 1) + -1 (24 + -8x) + -5x = 4(2x + 1) + -1 Combine like terms: -8x + -5x = -13x 24 + -13x = 4(2x + 1) + -1 Reorder the terms: 24 + -13x = 4(1 + 2x) + -1 24 + -13x = (1 * 4 + 2x * 4) + -1 24 + -13x = (4 + 8x) + -1 Reorder the terms: 24 + -13x = 4 + -1 + 8x Combine like terms: 4 + -1 = 3 24 + -13x = 3 + 8x Solving 24 + -13x = 3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -13x + -8x = 3 + 8x + -8x Combine like terms: -13x + -8x = -21x 24 + -21x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -21x = 3 + 0 24 + -21x = 3 Add '-24' to each side of the equation. 24 + -24 + -21x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -21x = 3 + -24 -21x = 3 + -24 Combine like terms: 3 + -24 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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