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Simplifying -5 + 3(x + 5) = 2(3x + -4) Reorder the terms: -5 + 3(5 + x) = 2(3x + -4) -5 + (5 * 3 + x * 3) = 2(3x + -4) -5 + (15 + 3x) = 2(3x + -4) Combine like terms: -5 + 15 = 10 10 + 3x = 2(3x + -4) Reorder the terms: 10 + 3x = 2(-4 + 3x) 10 + 3x = (-4 * 2 + 3x * 2) 10 + 3x = (-8 + 6x) Solving 10 + 3x = -8 + 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. 10 + 3x + -6x = -8 + 6x + -6x Combine like terms: 3x + -6x = -3x 10 + -3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -3x = -8 + 0 10 + -3x = -8 Add '-10' to each side of the equation. 10 + -10 + -3x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -8 + -10 -3x = -8 + -10 Combine like terms: -8 + -10 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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