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Simplifying 2(-3x + -4) + 3(-1 + 6x) = (-18 + 13x) Reorder the terms: 2(-4 + -3x) + 3(-1 + 6x) = (-18 + 13x) (-4 * 2 + -3x * 2) + 3(-1 + 6x) = (-18 + 13x) (-8 + -6x) + 3(-1 + 6x) = (-18 + 13x) -8 + -6x + (-1 * 3 + 6x * 3) = (-18 + 13x) -8 + -6x + (-3 + 18x) = (-18 + 13x) Reorder the terms: -8 + -3 + -6x + 18x = (-18 + 13x) Combine like terms: -8 + -3 = -11 -11 + -6x + 18x = (-18 + 13x) Combine like terms: -6x + 18x = 12x -11 + 12x = (-18 + 13x) Remove parenthesis around (-18 + 13x) -11 + 12x = -18 + 13x Solving -11 + 12x = -18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -11 + 12x + -13x = -18 + 13x + -13x Combine like terms: 12x + -13x = -1x -11 + -1x = -18 + 13x + -13x Combine like terms: 13x + -13x = 0 -11 + -1x = -18 + 0 -11 + -1x = -18 Add '11' to each side of the equation. -11 + 11 + -1x = -18 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -18 + 11 -1x = -18 + 11 Combine like terms: -18 + 11 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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