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Simplifying 6(-8x + 5) + 6x = -5(8x + -4) Reorder the terms: 6(5 + -8x) + 6x = -5(8x + -4) (5 * 6 + -8x * 6) + 6x = -5(8x + -4) (30 + -48x) + 6x = -5(8x + -4) Combine like terms: -48x + 6x = -42x 30 + -42x = -5(8x + -4) Reorder the terms: 30 + -42x = -5(-4 + 8x) 30 + -42x = (-4 * -5 + 8x * -5) 30 + -42x = (20 + -40x) Solving 30 + -42x = 20 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 30 + -42x + 40x = 20 + -40x + 40x Combine like terms: -42x + 40x = -2x 30 + -2x = 20 + -40x + 40x Combine like terms: -40x + 40x = 0 30 + -2x = 20 + 0 30 + -2x = 20 Add '-30' to each side of the equation. 30 + -30 + -2x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 20 + -30 -2x = 20 + -30 Combine like terms: 20 + -30 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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