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Simplifying 2(3x + -2) + -1(4x + 3) = 4(x + -6) Reorder the terms: 2(-2 + 3x) + -1(4x + 3) = 4(x + -6) (-2 * 2 + 3x * 2) + -1(4x + 3) = 4(x + -6) (-4 + 6x) + -1(4x + 3) = 4(x + -6) Reorder the terms: -4 + 6x + -1(3 + 4x) = 4(x + -6) -4 + 6x + (3 * -1 + 4x * -1) = 4(x + -6) -4 + 6x + (-3 + -4x) = 4(x + -6) Reorder the terms: -4 + -3 + 6x + -4x = 4(x + -6) Combine like terms: -4 + -3 = -7 -7 + 6x + -4x = 4(x + -6) Combine like terms: 6x + -4x = 2x -7 + 2x = 4(x + -6) Reorder the terms: -7 + 2x = 4(-6 + x) -7 + 2x = (-6 * 4 + x * 4) -7 + 2x = (-24 + 4x) Solving -7 + 2x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = -24 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = -24 + 0 -7 + -2x = -24 Add '7' to each side of the equation. -7 + 7 + -2x = -24 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -24 + 7 -2x = -24 + 7 Combine like terms: -24 + 7 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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