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Simplifying 6(-1x + -4) + -18x + 12 = 3(14 + -11x) Reorder the terms: 6(-4 + -1x) + -18x + 12 = 3(14 + -11x) (-4 * 6 + -1x * 6) + -18x + 12 = 3(14 + -11x) (-24 + -6x) + -18x + 12 = 3(14 + -11x) Reorder the terms: -24 + 12 + -6x + -18x = 3(14 + -11x) Combine like terms: -24 + 12 = -12 -12 + -6x + -18x = 3(14 + -11x) Combine like terms: -6x + -18x = -24x -12 + -24x = 3(14 + -11x) -12 + -24x = (14 * 3 + -11x * 3) -12 + -24x = (42 + -33x) Solving -12 + -24x = 42 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -12 + -24x + 33x = 42 + -33x + 33x Combine like terms: -24x + 33x = 9x -12 + 9x = 42 + -33x + 33x Combine like terms: -33x + 33x = 0 -12 + 9x = 42 + 0 -12 + 9x = 42 Add '12' to each side of the equation. -12 + 12 + 9x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 42 + 12 9x = 42 + 12 Combine like terms: 42 + 12 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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