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Simplifying 1(3x + -4) = 2(3x + -6) + 1 Reorder the terms: 1(-4 + 3x) = 2(3x + -6) + 1 (-4 * 1 + 3x * 1) = 2(3x + -6) + 1 (-4 + 3x) = 2(3x + -6) + 1 Reorder the terms: -4 + 3x = 2(-6 + 3x) + 1 -4 + 3x = (-6 * 2 + 3x * 2) + 1 -4 + 3x = (-12 + 6x) + 1 Reorder the terms: -4 + 3x = -12 + 1 + 6x Combine like terms: -12 + 1 = -11 -4 + 3x = -11 + 6x Solving -4 + 3x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 3x + -6x = -11 + 6x + -6x Combine like terms: 3x + -6x = -3x -4 + -3x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -3x = -11 + 0 -4 + -3x = -11 Add '4' to each side of the equation. -4 + 4 + -3x = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -11 + 4 -3x = -11 + 4 Combine like terms: -11 + 4 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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