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Simplifying 8(3x + -4) = 15x + -12 Reorder the terms: 8(-4 + 3x) = 15x + -12 (-4 * 8 + 3x * 8) = 15x + -12 (-32 + 24x) = 15x + -12 Reorder the terms: -32 + 24x = -12 + 15x Solving -32 + 24x = -12 + 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. -32 + 24x + -15x = -12 + 15x + -15x Combine like terms: 24x + -15x = 9x -32 + 9x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -32 + 9x = -12 + 0 -32 + 9x = -12 Add '32' to each side of the equation. -32 + 32 + 9x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 9x = -12 + 32 9x = -12 + 32 Combine like terms: -12 + 32 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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