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Simplifying -1(-22x + -27) + 24x = -7 + (6x + -22) Reorder the terms: -1(-27 + -22x) + 24x = -7 + (6x + -22) (-27 * -1 + -22x * -1) + 24x = -7 + (6x + -22) (27 + 22x) + 24x = -7 + (6x + -22) Combine like terms: 22x + 24x = 46x 27 + 46x = -7 + (6x + -22) Reorder the terms: 27 + 46x = -7 + (-22 + 6x) Remove parenthesis around (-22 + 6x) 27 + 46x = -7 + -22 + 6x Combine like terms: -7 + -22 = -29 27 + 46x = -29 + 6x Solving 27 + 46x = -29 + 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. 27 + 46x + -6x = -29 + 6x + -6x Combine like terms: 46x + -6x = 40x 27 + 40x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 40x = -29 + 0 27 + 40x = -29 Add '-27' to each side of the equation. 27 + -27 + 40x = -29 + -27 Combine like terms: 27 + -27 = 0 0 + 40x = -29 + -27 40x = -29 + -27 Combine like terms: -29 + -27 = -56 40x = -56 Divide each side by '40'. x = -1.4 Simplifying x = -1.4
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