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Simplifying 5x + (6 + -3x) = 8(-3x + 4) Remove parenthesis around (6 + -3x) 5x + 6 + -3x = 8(-3x + 4) Reorder the terms: 6 + 5x + -3x = 8(-3x + 4) Combine like terms: 5x + -3x = 2x 6 + 2x = 8(-3x + 4) Reorder the terms: 6 + 2x = 8(4 + -3x) 6 + 2x = (4 * 8 + -3x * 8) 6 + 2x = (32 + -24x) Solving 6 + 2x = 32 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 6 + 2x + 24x = 32 + -24x + 24x Combine like terms: 2x + 24x = 26x 6 + 26x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 6 + 26x = 32 + 0 6 + 26x = 32 Add '-6' to each side of the equation. 6 + -6 + 26x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 26x = 32 + -6 26x = 32 + -6 Combine like terms: 32 + -6 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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