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Simplifying 3(3x + -4) = 11 + -1(x + -7) Reorder the terms: 3(-4 + 3x) = 11 + -1(x + -7) (-4 * 3 + 3x * 3) = 11 + -1(x + -7) (-12 + 9x) = 11 + -1(x + -7) Reorder the terms: -12 + 9x = 11 + -1(-7 + x) -12 + 9x = 11 + (-7 * -1 + x * -1) -12 + 9x = 11 + (7 + -1x) Combine like terms: 11 + 7 = 18 -12 + 9x = 18 + -1x Solving -12 + 9x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 9x + x = 18 + -1x + x Combine like terms: 9x + x = 10x -12 + 10x = 18 + -1x + x Combine like terms: -1x + x = 0 -12 + 10x = 18 + 0 -12 + 10x = 18 Add '12' to each side of the equation. -12 + 12 + 10x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 18 + 12 10x = 18 + 12 Combine like terms: 18 + 12 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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