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Simplifying 4.6(2.5x + 1.4) + -10.5x + -7.34 = -8.21 Reorder the terms: 4.6(1.4 + 2.5x) + -10.5x + -7.34 = -8.21 (1.4 * 4.6 + 2.5x * 4.6) + -10.5x + -7.34 = -8.21 (6.44 + 11.5x) + -10.5x + -7.34 = -8.21 Reorder the terms: 6.44 + -7.34 + 11.5x + -10.5x = -8.21 Combine like terms: 6.44 + -7.34 = -0.9 -0.9 + 11.5x + -10.5x = -8.21 Combine like terms: 11.5x + -10.5x = 1x -0.9 + 1x = -8.21 Solving -0.9 + 1x = -8.21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 1x = -8.21 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 1x = -8.21 + 0.9 1x = -8.21 + 0.9 Combine like terms: -8.21 + 0.9 = -7.31 1x = -7.31 Divide each side by '1'. x = -7.31 Simplifying x = -7.31
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