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Simplifying 10x + -1(2 + 9) = -3(15 + -4x) Combine like terms: 2 + 9 = 11 10x + -1(11) = -3(15 + -4x) Multiply -1 * 11 10x + -11 = -3(15 + -4x) Reorder the terms: -11 + 10x = -3(15 + -4x) -11 + 10x = (15 * -3 + -4x * -3) -11 + 10x = (-45 + 12x) Solving -11 + 10x = -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. -11 + 10x + -12x = -45 + 12x + -12x Combine like terms: 10x + -12x = -2x -11 + -2x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -2x = -45 + 0 -11 + -2x = -45 Add '11' to each side of the equation. -11 + 11 + -2x = -45 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -45 + 11 -2x = -45 + 11 Combine like terms: -45 + 11 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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