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Simplifying 12.9 = -0.5x + -0.3(3x + -1) Reorder the terms: 12.9 = -0.5x + -0.3(-1 + 3x) 12.9 = -0.5x + (-1 * -0.3 + 3x * -0.3) 12.9 = -0.5x + (0.3 + -0.9x) Reorder the terms: 12.9 = 0.3 + -0.5x + -0.9x Combine like terms: -0.5x + -0.9x = -1.4x 12.9 = 0.3 + -1.4x Solving 12.9 = 0.3 + -1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4x' to each side of the equation. 12.9 + 1.4x = 0.3 + -1.4x + 1.4x Combine like terms: -1.4x + 1.4x = 0.0 12.9 + 1.4x = 0.3 + 0.0 12.9 + 1.4x = 0.3 Add '-12.9' to each side of the equation. 12.9 + -12.9 + 1.4x = 0.3 + -12.9 Combine like terms: 12.9 + -12.9 = 0.0 0.0 + 1.4x = 0.3 + -12.9 1.4x = 0.3 + -12.9 Combine like terms: 0.3 + -12.9 = -12.6 1.4x = -12.6 Divide each side by '1.4'. x = -9 Simplifying x = -9
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