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Simplifying 3(2x + -9) + -4 = 3(x + -4) + 1 Reorder the terms: 3(-9 + 2x) + -4 = 3(x + -4) + 1 (-9 * 3 + 2x * 3) + -4 = 3(x + -4) + 1 (-27 + 6x) + -4 = 3(x + -4) + 1 Reorder the terms: -27 + -4 + 6x = 3(x + -4) + 1 Combine like terms: -27 + -4 = -31 -31 + 6x = 3(x + -4) + 1 Reorder the terms: -31 + 6x = 3(-4 + x) + 1 -31 + 6x = (-4 * 3 + x * 3) + 1 -31 + 6x = (-12 + 3x) + 1 Reorder the terms: -31 + 6x = -12 + 1 + 3x Combine like terms: -12 + 1 = -11 -31 + 6x = -11 + 3x Solving -31 + 6x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 6x + -3x = -11 + 3x + -3x Combine like terms: 6x + -3x = 3x -31 + 3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 3x = -11 + 0 -31 + 3x = -11 Add '31' to each side of the equation. -31 + 31 + 3x = -11 + 31 Combine like terms: -31 + 31 = 0 0 + 3x = -11 + 31 3x = -11 + 31 Combine like terms: -11 + 31 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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