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Simplifying 0.8(x + 20) + -4.5 = 0.7(5 + x) + -0.9x Reorder the terms: 0.8(20 + x) + -4.5 = 0.7(5 + x) + -0.9x (20 * 0.8 + x * 0.8) + -4.5 = 0.7(5 + x) + -0.9x (16 + 0.8x) + -4.5 = 0.7(5 + x) + -0.9x Reorder the terms: 16 + -4.5 + 0.8x = 0.7(5 + x) + -0.9x Combine like terms: 16 + -4.5 = 11.5 11.5 + 0.8x = 0.7(5 + x) + -0.9x 11.5 + 0.8x = (5 * 0.7 + x * 0.7) + -0.9x 11.5 + 0.8x = (3.5 + 0.7x) + -0.9x Combine like terms: 0.7x + -0.9x = -0.2x 11.5 + 0.8x = 3.5 + -0.2x Solving 11.5 + 0.8x = 3.5 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 11.5 + 0.8x + 0.2x = 3.5 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x 11.5 + 1x = 3.5 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 11.5 + 1x = 3.5 + 0.0 11.5 + 1x = 3.5 Add '-11.5' to each side of the equation. 11.5 + -11.5 + 1x = 3.5 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + 1x = 3.5 + -11.5 1x = 3.5 + -11.5 Combine like terms: 3.5 + -11.5 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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