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Simplifying 5(2x + -4) + 8x = 7 + 15x Reorder the terms: 5(-4 + 2x) + 8x = 7 + 15x (-4 * 5 + 2x * 5) + 8x = 7 + 15x (-20 + 10x) + 8x = 7 + 15x Combine like terms: 10x + 8x = 18x -20 + 18x = 7 + 15x Solving -20 + 18x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 18x + -15x = 7 + 15x + -15x Combine like terms: 18x + -15x = 3x -20 + 3x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + 3x = 7 + 0 -20 + 3x = 7 Add '20' to each side of the equation. -20 + 20 + 3x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 7 + 20 3x = 7 + 20 Combine like terms: 7 + 20 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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