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Simplifying 10(-3 + x) + -2(x + -12) = 5x + 9x (-3 * 10 + x * 10) + -2(x + -12) = 5x + 9x (-30 + 10x) + -2(x + -12) = 5x + 9x Reorder the terms: -30 + 10x + -2(-12 + x) = 5x + 9x -30 + 10x + (-12 * -2 + x * -2) = 5x + 9x -30 + 10x + (24 + -2x) = 5x + 9x Reorder the terms: -30 + 24 + 10x + -2x = 5x + 9x Combine like terms: -30 + 24 = -6 -6 + 10x + -2x = 5x + 9x Combine like terms: 10x + -2x = 8x -6 + 8x = 5x + 9x Combine like terms: 5x + 9x = 14x -6 + 8x = 14x Solving -6 + 8x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 8x + -14x = 14x + -14x Combine like terms: 8x + -14x = -6x -6 + -6x = 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -6x = 0 Add '6' to each side of the equation. -6 + 6 + -6x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 0 + 6 -6x = 0 + 6 Combine like terms: 0 + 6 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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