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Simplifying -1(2x + -5) + 4(3x + 2) = 6x + -7 Reorder the terms: -1(-5 + 2x) + 4(3x + 2) = 6x + -7 (-5 * -1 + 2x * -1) + 4(3x + 2) = 6x + -7 (5 + -2x) + 4(3x + 2) = 6x + -7 Reorder the terms: 5 + -2x + 4(2 + 3x) = 6x + -7 5 + -2x + (2 * 4 + 3x * 4) = 6x + -7 5 + -2x + (8 + 12x) = 6x + -7 Reorder the terms: 5 + 8 + -2x + 12x = 6x + -7 Combine like terms: 5 + 8 = 13 13 + -2x + 12x = 6x + -7 Combine like terms: -2x + 12x = 10x 13 + 10x = 6x + -7 Reorder the terms: 13 + 10x = -7 + 6x Solving 13 + 10x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 10x + -6x = -7 + 6x + -6x Combine like terms: 10x + -6x = 4x 13 + 4x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 4x = -7 + 0 13 + 4x = -7 Add '-13' to each side of the equation. 13 + -13 + 4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = -7 + -13 4x = -7 + -13 Combine like terms: -7 + -13 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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