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Simplifying 0.42(x + 3) + -0.81(2x + -5) + 0.76 = 26.47 Reorder the terms: 0.42(3 + x) + -0.81(2x + -5) + 0.76 = 26.47 (3 * 0.42 + x * 0.42) + -0.81(2x + -5) + 0.76 = 26.47 (1.26 + 0.42x) + -0.81(2x + -5) + 0.76 = 26.47 Reorder the terms: 1.26 + 0.42x + -0.81(-5 + 2x) + 0.76 = 26.47 1.26 + 0.42x + (-5 * -0.81 + 2x * -0.81) + 0.76 = 26.47 1.26 + 0.42x + (4.05 + -1.62x) + 0.76 = 26.47 Reorder the terms: 1.26 + 4.05 + 0.76 + 0.42x + -1.62x = 26.47 Combine like terms: 1.26 + 4.05 = 5.31 5.31 + 0.76 + 0.42x + -1.62x = 26.47 Combine like terms: 5.31 + 0.76 = 6.07 6.07 + 0.42x + -1.62x = 26.47 Combine like terms: 0.42x + -1.62x = -1.2x 6.07 + -1.2x = 26.47 Solving 6.07 + -1.2x = 26.47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.07' to each side of the equation. 6.07 + -6.07 + -1.2x = 26.47 + -6.07 Combine like terms: 6.07 + -6.07 = 0.00 0.00 + -1.2x = 26.47 + -6.07 -1.2x = 26.47 + -6.07 Combine like terms: 26.47 + -6.07 = 20.4 -1.2x = 20.4 Divide each side by '-1.2'. x = -17 Simplifying x = -17
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