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Simplifying 3(36.7) + -4.3x + -10 = 4(10 + -2.5x) + -8(3.5 + -4.1x) Multiply 3 * 36.7 110.1 + -4.3x + -10 = 4(10 + -2.5x) + -8(3.5 + -4.1x) Reorder the terms: 110.1 + -10 + -4.3x = 4(10 + -2.5x) + -8(3.5 + -4.1x) Combine like terms: 110.1 + -10 = 100.1 100.1 + -4.3x = 4(10 + -2.5x) + -8(3.5 + -4.1x) 100.1 + -4.3x = (10 * 4 + -2.5x * 4) + -8(3.5 + -4.1x) 100.1 + -4.3x = (40 + -10x) + -8(3.5 + -4.1x) 100.1 + -4.3x = 40 + -10x + (3.5 * -8 + -4.1x * -8) 100.1 + -4.3x = 40 + -10x + (-28 + 32.8x) Reorder the terms: 100.1 + -4.3x = 40 + -28 + -10x + 32.8x Combine like terms: 40 + -28 = 12 100.1 + -4.3x = 12 + -10x + 32.8x Combine like terms: -10x + 32.8x = 22.8x 100.1 + -4.3x = 12 + 22.8x Solving 100.1 + -4.3x = 12 + 22.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.8x' to each side of the equation. 100.1 + -4.3x + -22.8x = 12 + 22.8x + -22.8x Combine like terms: -4.3x + -22.8x = -27.1x 100.1 + -27.1x = 12 + 22.8x + -22.8x Combine like terms: 22.8x + -22.8x = 0.0 100.1 + -27.1x = 12 + 0.0 100.1 + -27.1x = 12 Add '-100.1' to each side of the equation. 100.1 + -100.1 + -27.1x = 12 + -100.1 Combine like terms: 100.1 + -100.1 = 0.0 0.0 + -27.1x = 12 + -100.1 -27.1x = 12 + -100.1 Combine like terms: 12 + -100.1 = -88.1 -27.1x = -88.1 Divide each side by '-27.1'. x = 3.250922509 Simplifying x = 3.250922509
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