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Simplifying (4 + 3x) * 5 = (2x + -2) + -10 Reorder the terms for easier multiplication: 5(4 + 3x) = (2x + -2) + -10 (4 * 5 + 3x * 5) = (2x + -2) + -10 (20 + 15x) = (2x + -2) + -10 Reorder the terms: 20 + 15x = (-2 + 2x) + -10 Remove parenthesis around (-2 + 2x) 20 + 15x = -2 + 2x + -10 Reorder the terms: 20 + 15x = -2 + -10 + 2x Combine like terms: -2 + -10 = -12 20 + 15x = -12 + 2x Solving 20 + 15x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 15x + -2x = -12 + 2x + -2x Combine like terms: 15x + -2x = 13x 20 + 13x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 13x = -12 + 0 20 + 13x = -12 Add '-20' to each side of the equation. 20 + -20 + 13x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = -12 + -20 13x = -12 + -20 Combine like terms: -12 + -20 = -32 13x = -32 Divide each side by '13'. x = -2.461538462 Simplifying x = -2.461538462
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