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Simplifying 0.35(4x + -3) + 0.75(9x + -5) + -2.1 = 188.7 Reorder the terms: 0.35(-3 + 4x) + 0.75(9x + -5) + -2.1 = 188.7 (-3 * 0.35 + 4x * 0.35) + 0.75(9x + -5) + -2.1 = 188.7 (-1.05 + 1.4x) + 0.75(9x + -5) + -2.1 = 188.7 Reorder the terms: -1.05 + 1.4x + 0.75(-5 + 9x) + -2.1 = 188.7 -1.05 + 1.4x + (-5 * 0.75 + 9x * 0.75) + -2.1 = 188.7 -1.05 + 1.4x + (-3.75 + 6.75x) + -2.1 = 188.7 Reorder the terms: -1.05 + -3.75 + -2.1 + 1.4x + 6.75x = 188.7 Combine like terms: -1.05 + -3.75 = -4.8 -4.8 + -2.1 + 1.4x + 6.75x = 188.7 Combine like terms: -4.8 + -2.1 = -6.9 -6.9 + 1.4x + 6.75x = 188.7 Combine like terms: 1.4x + 6.75x = 8.15x -6.9 + 8.15x = 188.7 Solving -6.9 + 8.15x = 188.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.9' to each side of the equation. -6.9 + 6.9 + 8.15x = 188.7 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 8.15x = 188.7 + 6.9 8.15x = 188.7 + 6.9 Combine like terms: 188.7 + 6.9 = 195.6 8.15x = 195.6 Divide each side by '8.15'. x = 24 Simplifying x = 24
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