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Simplifying 7 + -5(4x + -3) = 15x + -2 Reorder the terms: 7 + -5(-3 + 4x) = 15x + -2 7 + (-3 * -5 + 4x * -5) = 15x + -2 7 + (15 + -20x) = 15x + -2 Combine like terms: 7 + 15 = 22 22 + -20x = 15x + -2 Reorder the terms: 22 + -20x = -2 + 15x Solving 22 + -20x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 22 + -20x + -15x = -2 + 15x + -15x Combine like terms: -20x + -15x = -35x 22 + -35x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 22 + -35x = -2 + 0 22 + -35x = -2 Add '-22' to each side of the equation. 22 + -22 + -35x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -35x = -2 + -22 -35x = -2 + -22 Combine like terms: -2 + -22 = -24 -35x = -24 Divide each side by '-35'. x = 0.6857142857 Simplifying x = 0.6857142857
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