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Simplifying -18x + 5(8 + 3x) = 7(3x + -8) -18x + (8 * 5 + 3x * 5) = 7(3x + -8) -18x + (40 + 15x) = 7(3x + -8) Reorder the terms: 40 + -18x + 15x = 7(3x + -8) Combine like terms: -18x + 15x = -3x 40 + -3x = 7(3x + -8) Reorder the terms: 40 + -3x = 7(-8 + 3x) 40 + -3x = (-8 * 7 + 3x * 7) 40 + -3x = (-56 + 21x) Solving 40 + -3x = -56 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 40 + -3x + -21x = -56 + 21x + -21x Combine like terms: -3x + -21x = -24x 40 + -24x = -56 + 21x + -21x Combine like terms: 21x + -21x = 0 40 + -24x = -56 + 0 40 + -24x = -56 Add '-40' to each side of the equation. 40 + -40 + -24x = -56 + -40 Combine like terms: 40 + -40 = 0 0 + -24x = -56 + -40 -24x = -56 + -40 Combine like terms: -56 + -40 = -96 -24x = -96 Divide each side by '-24'. x = 4 Simplifying x = 4
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