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Simplifying 10x + -2(x + 9) = -3(15 + -4x) Reorder the terms: 10x + -2(9 + x) = -3(15 + -4x) 10x + (9 * -2 + x * -2) = -3(15 + -4x) 10x + (-18 + -2x) = -3(15 + -4x) Reorder the terms: -18 + 10x + -2x = -3(15 + -4x) Combine like terms: 10x + -2x = 8x -18 + 8x = -3(15 + -4x) -18 + 8x = (15 * -3 + -4x * -3) -18 + 8x = (-45 + 12x) Solving -18 + 8x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 8x + -12x = -45 + 12x + -12x Combine like terms: 8x + -12x = -4x -18 + -4x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -4x = -45 + 0 -18 + -4x = -45 Add '18' to each side of the equation. -18 + 18 + -4x = -45 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -45 + 18 -4x = -45 + 18 Combine like terms: -45 + 18 = -27 -4x = -27 Divide each side by '-4'. x = 6.75 Simplifying x = 6.75
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