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Simplifying -3(2x + -5) + -1(-3 + -2x) = -3x + 7 Reorder the terms: -3(-5 + 2x) + -1(-3 + -2x) = -3x + 7 (-5 * -3 + 2x * -3) + -1(-3 + -2x) = -3x + 7 (15 + -6x) + -1(-3 + -2x) = -3x + 7 15 + -6x + (-3 * -1 + -2x * -1) = -3x + 7 15 + -6x + (3 + 2x) = -3x + 7 Reorder the terms: 15 + 3 + -6x + 2x = -3x + 7 Combine like terms: 15 + 3 = 18 18 + -6x + 2x = -3x + 7 Combine like terms: -6x + 2x = -4x 18 + -4x = -3x + 7 Reorder the terms: 18 + -4x = 7 + -3x Solving 18 + -4x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 18 + -4x + 3x = 7 + -3x + 3x Combine like terms: -4x + 3x = -1x 18 + -1x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 18 + -1x = 7 + 0 18 + -1x = 7 Add '-18' to each side of the equation. 18 + -18 + -1x = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 7 + -18 -1x = 7 + -18 Combine like terms: 7 + -18 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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