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Simplifying 0.60(15x + 4) + -10x = 0.9(11x + -6) + -2 Reorder the terms: 0.60(4 + 15x) + -10x = 0.9(11x + -6) + -2 (4 * 0.60 + 15x * 0.60) + -10x = 0.9(11x + -6) + -2 (2.4 + 9x) + -10x = 0.9(11x + -6) + -2 Combine like terms: 9x + -10x = -1x 2.4 + -1x = 0.9(11x + -6) + -2 Reorder the terms: 2.4 + -1x = 0.9(-6 + 11x) + -2 2.4 + -1x = (-6 * 0.9 + 11x * 0.9) + -2 2.4 + -1x = (-5.4 + 9.9x) + -2 Reorder the terms: 2.4 + -1x = -5.4 + -2 + 9.9x Combine like terms: -5.4 + -2 = -7.4 2.4 + -1x = -7.4 + 9.9x Solving 2.4 + -1x = -7.4 + 9.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.9x' to each side of the equation. 2.4 + -1x + -9.9x = -7.4 + 9.9x + -9.9x Combine like terms: -1x + -9.9x = -10.9x 2.4 + -10.9x = -7.4 + 9.9x + -9.9x Combine like terms: 9.9x + -9.9x = 0.0 2.4 + -10.9x = -7.4 + 0.0 2.4 + -10.9x = -7.4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -10.9x = -7.4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -10.9x = -7.4 + -2.4 -10.9x = -7.4 + -2.4 Combine like terms: -7.4 + -2.4 = -9.8 -10.9x = -9.8 Divide each side by '-10.9'. x = 0.8990825688 Simplifying x = 0.8990825688
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