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Simplifying 0.8(x + -1.3) + 0.9x = 1.6(x + 1) + -3.03 Reorder the terms: 0.8(-1.3 + x) + 0.9x = 1.6(x + 1) + -3.03 (-1.3 * 0.8 + x * 0.8) + 0.9x = 1.6(x + 1) + -3.03 (-1.04 + 0.8x) + 0.9x = 1.6(x + 1) + -3.03 Combine like terms: 0.8x + 0.9x = 1.7x -1.04 + 1.7x = 1.6(x + 1) + -3.03 Reorder the terms: -1.04 + 1.7x = 1.6(1 + x) + -3.03 -1.04 + 1.7x = (1 * 1.6 + x * 1.6) + -3.03 -1.04 + 1.7x = (1.6 + 1.6x) + -3.03 Reorder the terms: -1.04 + 1.7x = 1.6 + -3.03 + 1.6x Combine like terms: 1.6 + -3.03 = -1.43 -1.04 + 1.7x = -1.43 + 1.6x Solving -1.04 + 1.7x = -1.43 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -1.04 + 1.7x + -1.6x = -1.43 + 1.6x + -1.6x Combine like terms: 1.7x + -1.6x = 0.1x -1.04 + 0.1x = -1.43 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -1.04 + 0.1x = -1.43 + 0.0 -1.04 + 0.1x = -1.43 Add '1.04' to each side of the equation. -1.04 + 1.04 + 0.1x = -1.43 + 1.04 Combine like terms: -1.04 + 1.04 = 0.00 0.00 + 0.1x = -1.43 + 1.04 0.1x = -1.43 + 1.04 Combine like terms: -1.43 + 1.04 = -0.39 0.1x = -0.39 Divide each side by '0.1'. x = -3.9 Simplifying x = -3.9
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