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Simplifying 0.6(x + 0.7) + 1.2x = 0.9(x + -1.5) + -3.12 Reorder the terms: 0.6(0.7 + x) + 1.2x = 0.9(x + -1.5) + -3.12 (0.7 * 0.6 + x * 0.6) + 1.2x = 0.9(x + -1.5) + -3.12 (0.42 + 0.6x) + 1.2x = 0.9(x + -1.5) + -3.12 Combine like terms: 0.6x + 1.2x = 1.8x 0.42 + 1.8x = 0.9(x + -1.5) + -3.12 Reorder the terms: 0.42 + 1.8x = 0.9(-1.5 + x) + -3.12 0.42 + 1.8x = (-1.5 * 0.9 + x * 0.9) + -3.12 0.42 + 1.8x = (-1.35 + 0.9x) + -3.12 Reorder the terms: 0.42 + 1.8x = -1.35 + -3.12 + 0.9x Combine like terms: -1.35 + -3.12 = -4.47 0.42 + 1.8x = -4.47 + 0.9x Solving 0.42 + 1.8x = -4.47 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.42 + 1.8x + -0.9x = -4.47 + 0.9x + -0.9x Combine like terms: 1.8x + -0.9x = 0.9x 0.42 + 0.9x = -4.47 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.42 + 0.9x = -4.47 + 0.0 0.42 + 0.9x = -4.47 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.9x = -4.47 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.9x = -4.47 + -0.42 0.9x = -4.47 + -0.42 Combine like terms: -4.47 + -0.42 = -4.89 0.9x = -4.89 Divide each side by '0.9'. x = -5.433333333 Simplifying x = -5.433333333
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