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Simplifying 0.3(3x + -12) = 6 + -2(x + -1) Reorder the terms: 0.3(-12 + 3x) = 6 + -2(x + -1) (-12 * 0.3 + 3x * 0.3) = 6 + -2(x + -1) (-3.6 + 0.9x) = 6 + -2(x + -1) Reorder the terms: -3.6 + 0.9x = 6 + -2(-1 + x) -3.6 + 0.9x = 6 + (-1 * -2 + x * -2) -3.6 + 0.9x = 6 + (2 + -2x) Combine like terms: 6 + 2 = 8 -3.6 + 0.9x = 8 + -2x Solving -3.6 + 0.9x = 8 + -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. -3.6 + 0.9x + 2x = 8 + -2x + 2x Combine like terms: 0.9x + 2x = 2.9x -3.6 + 2.9x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -3.6 + 2.9x = 8 + 0 -3.6 + 2.9x = 8 Add '3.6' to each side of the equation. -3.6 + 3.6 + 2.9x = 8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 2.9x = 8 + 3.6 2.9x = 8 + 3.6 Combine like terms: 8 + 3.6 = 11.6 2.9x = 11.6 Divide each side by '2.9'. x = 4 Simplifying x = 4
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