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Simplifying 3x + 3(x + -8) = 8x + 30 + -15 Reorder the terms: 3x + 3(-8 + x) = 8x + 30 + -15 3x + (-8 * 3 + x * 3) = 8x + 30 + -15 3x + (-24 + 3x) = 8x + 30 + -15 Reorder the terms: -24 + 3x + 3x = 8x + 30 + -15 Combine like terms: 3x + 3x = 6x -24 + 6x = 8x + 30 + -15 Reorder the terms: -24 + 6x = 30 + -15 + 8x Combine like terms: 30 + -15 = 15 -24 + 6x = 15 + 8x Solving -24 + 6x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 6x + -8x = 15 + 8x + -8x Combine like terms: 6x + -8x = -2x -24 + -2x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -2x = 15 + 0 -24 + -2x = 15 Add '24' to each side of the equation. -24 + 24 + -2x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 15 + 24 -2x = 15 + 24 Combine like terms: 15 + 24 = 39 -2x = 39 Divide each side by '-2'. x = -19.5 Simplifying x = -19.5
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