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Simplifying 3x + -4(3x + 8) = x + 10 Reorder the terms: 3x + -4(8 + 3x) = x + 10 3x + (8 * -4 + 3x * -4) = x + 10 3x + (-32 + -12x) = x + 10 Reorder the terms: -32 + 3x + -12x = x + 10 Combine like terms: 3x + -12x = -9x -32 + -9x = x + 10 Reorder the terms: -32 + -9x = 10 + x Solving -32 + -9x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + -9x + -1x = 10 + x + -1x Combine like terms: -9x + -1x = -10x -32 + -10x = 10 + x + -1x Combine like terms: x + -1x = 0 -32 + -10x = 10 + 0 -32 + -10x = 10 Add '32' to each side of the equation. -32 + 32 + -10x = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = 10 + 32 -10x = 10 + 32 Combine like terms: 10 + 32 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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