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Simplifying -3(2x + 3) + -1 = -4(x + 6) + 2x Reorder the terms: -3(3 + 2x) + -1 = -4(x + 6) + 2x (3 * -3 + 2x * -3) + -1 = -4(x + 6) + 2x (-9 + -6x) + -1 = -4(x + 6) + 2x Reorder the terms: -9 + -1 + -6x = -4(x + 6) + 2x Combine like terms: -9 + -1 = -10 -10 + -6x = -4(x + 6) + 2x Reorder the terms: -10 + -6x = -4(6 + x) + 2x -10 + -6x = (6 * -4 + x * -4) + 2x -10 + -6x = (-24 + -4x) + 2x Combine like terms: -4x + 2x = -2x -10 + -6x = -24 + -2x Solving -10 + -6x = -24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -6x + 2x = -24 + -2x + 2x Combine like terms: -6x + 2x = -4x -10 + -4x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -4x = -24 + 0 -10 + -4x = -24 Add '10' to each side of the equation. -10 + 10 + -4x = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -24 + 10 -4x = -24 + 10 Combine like terms: -24 + 10 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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