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Simplifying 3(2x + -6) + -4(3x + 1) = 5 + -2(x + 1) Reorder the terms: 3(-6 + 2x) + -4(3x + 1) = 5 + -2(x + 1) (-6 * 3 + 2x * 3) + -4(3x + 1) = 5 + -2(x + 1) (-18 + 6x) + -4(3x + 1) = 5 + -2(x + 1) Reorder the terms: -18 + 6x + -4(1 + 3x) = 5 + -2(x + 1) -18 + 6x + (1 * -4 + 3x * -4) = 5 + -2(x + 1) -18 + 6x + (-4 + -12x) = 5 + -2(x + 1) Reorder the terms: -18 + -4 + 6x + -12x = 5 + -2(x + 1) Combine like terms: -18 + -4 = -22 -22 + 6x + -12x = 5 + -2(x + 1) Combine like terms: 6x + -12x = -6x -22 + -6x = 5 + -2(x + 1) Reorder the terms: -22 + -6x = 5 + -2(1 + x) -22 + -6x = 5 + (1 * -2 + x * -2) -22 + -6x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 -22 + -6x = 3 + -2x Solving -22 + -6x = 3 + -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. -22 + -6x + 2x = 3 + -2x + 2x Combine like terms: -6x + 2x = -4x -22 + -4x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -22 + -4x = 3 + 0 -22 + -4x = 3 Add '22' to each side of the equation. -22 + 22 + -4x = 3 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = 3 + 22 -4x = 3 + 22 Combine like terms: 3 + 22 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25
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