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Simplifying 0.5(12x + -3.4) = -2(4x + -1) + x Reorder the terms: 0.5(-3.4 + 12x) = -2(4x + -1) + x (-3.4 * 0.5 + 12x * 0.5) = -2(4x + -1) + x (-1.7 + 6x) = -2(4x + -1) + x Reorder the terms: -1.7 + 6x = -2(-1 + 4x) + x -1.7 + 6x = (-1 * -2 + 4x * -2) + x -1.7 + 6x = (2 + -8x) + x Combine like terms: -8x + x = -7x -1.7 + 6x = 2 + -7x Solving -1.7 + 6x = 2 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1.7 + 6x + 7x = 2 + -7x + 7x Combine like terms: 6x + 7x = 13x -1.7 + 13x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 -1.7 + 13x = 2 + 0 -1.7 + 13x = 2 Add '1.7' to each side of the equation. -1.7 + 1.7 + 13x = 2 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 13x = 2 + 1.7 13x = 2 + 1.7 Combine like terms: 2 + 1.7 = 3.7 13x = 3.7 Divide each side by '13'. x = 0.2846153846 Simplifying x = 0.2846153846
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