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Simplifying 3(x + -9) + -4(3x + 1) = x + -33 Reorder the terms: 3(-9 + x) + -4(3x + 1) = x + -33 (-9 * 3 + x * 3) + -4(3x + 1) = x + -33 (-27 + 3x) + -4(3x + 1) = x + -33 Reorder the terms: -27 + 3x + -4(1 + 3x) = x + -33 -27 + 3x + (1 * -4 + 3x * -4) = x + -33 -27 + 3x + (-4 + -12x) = x + -33 Reorder the terms: -27 + -4 + 3x + -12x = x + -33 Combine like terms: -27 + -4 = -31 -31 + 3x + -12x = x + -33 Combine like terms: 3x + -12x = -9x -31 + -9x = x + -33 Reorder the terms: -31 + -9x = -33 + x Solving -31 + -9x = -33 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -31 + -9x + -1x = -33 + x + -1x Combine like terms: -9x + -1x = -10x -31 + -10x = -33 + x + -1x Combine like terms: x + -1x = 0 -31 + -10x = -33 + 0 -31 + -10x = -33 Add '31' to each side of the equation. -31 + 31 + -10x = -33 + 31 Combine like terms: -31 + 31 = 0 0 + -10x = -33 + 31 -10x = -33 + 31 Combine like terms: -33 + 31 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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