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Simplifying -4(5x + -6) + 8x = 3(x + 7) Reorder the terms: -4(-6 + 5x) + 8x = 3(x + 7) (-6 * -4 + 5x * -4) + 8x = 3(x + 7) (24 + -20x) + 8x = 3(x + 7) Combine like terms: -20x + 8x = -12x 24 + -12x = 3(x + 7) Reorder the terms: 24 + -12x = 3(7 + x) 24 + -12x = (7 * 3 + x * 3) 24 + -12x = (21 + 3x) Solving 24 + -12x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -12x + -3x = 21 + 3x + -3x Combine like terms: -12x + -3x = -15x 24 + -15x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -15x = 21 + 0 24 + -15x = 21 Add '-24' to each side of the equation. 24 + -24 + -15x = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -15x = 21 + -24 -15x = 21 + -24 Combine like terms: 21 + -24 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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