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Simplifying 2(x + -12) + 6x = 17 + 18 + -6x + -3 Reorder the terms: 2(-12 + x) + 6x = 17 + 18 + -6x + -3 (-12 * 2 + x * 2) + 6x = 17 + 18 + -6x + -3 (-24 + 2x) + 6x = 17 + 18 + -6x + -3 Combine like terms: 2x + 6x = 8x -24 + 8x = 17 + 18 + -6x + -3 Reorder the terms: -24 + 8x = 17 + 18 + -3 + -6x Combine like terms: 17 + 18 = 35 -24 + 8x = 35 + -3 + -6x Combine like terms: 35 + -3 = 32 -24 + 8x = 32 + -6x Solving -24 + 8x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 8x + 6x = 32 + -6x + 6x Combine like terms: 8x + 6x = 14x -24 + 14x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 14x = 32 + 0 -24 + 14x = 32 Add '24' to each side of the equation. -24 + 24 + 14x = 32 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 32 + 24 14x = 32 + 24 Combine like terms: 32 + 24 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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