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Simplifying 3(2x + -2) + -4(x + 6) = 3x + 8 + x + -19 Reorder the terms: 3(-2 + 2x) + -4(x + 6) = 3x + 8 + x + -19 (-2 * 3 + 2x * 3) + -4(x + 6) = 3x + 8 + x + -19 (-6 + 6x) + -4(x + 6) = 3x + 8 + x + -19 Reorder the terms: -6 + 6x + -4(6 + x) = 3x + 8 + x + -19 -6 + 6x + (6 * -4 + x * -4) = 3x + 8 + x + -19 -6 + 6x + (-24 + -4x) = 3x + 8 + x + -19 Reorder the terms: -6 + -24 + 6x + -4x = 3x + 8 + x + -19 Combine like terms: -6 + -24 = -30 -30 + 6x + -4x = 3x + 8 + x + -19 Combine like terms: 6x + -4x = 2x -30 + 2x = 3x + 8 + x + -19 Reorder the terms: -30 + 2x = 8 + -19 + 3x + x Combine like terms: 8 + -19 = -11 -30 + 2x = -11 + 3x + x Combine like terms: 3x + x = 4x -30 + 2x = -11 + 4x Solving -30 + 2x = -11 + 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. -30 + 2x + -4x = -11 + 4x + -4x Combine like terms: 2x + -4x = -2x -30 + -2x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -2x = -11 + 0 -30 + -2x = -11 Add '30' to each side of the equation. -30 + 30 + -2x = -11 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -11 + 30 -2x = -11 + 30 Combine like terms: -11 + 30 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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