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Simplifying 0.9(x + 2) + -3 = 2(x + 0.9) + 4 Reorder the terms: 0.9(2 + x) + -3 = 2(x + 0.9) + 4 (2 * 0.9 + x * 0.9) + -3 = 2(x + 0.9) + 4 (1.8 + 0.9x) + -3 = 2(x + 0.9) + 4 Reorder the terms: 1.8 + -3 + 0.9x = 2(x + 0.9) + 4 Combine like terms: 1.8 + -3 = -1.2 -1.2 + 0.9x = 2(x + 0.9) + 4 Reorder the terms: -1.2 + 0.9x = 2(0.9 + x) + 4 -1.2 + 0.9x = (0.9 * 2 + x * 2) + 4 -1.2 + 0.9x = (1.8 + 2x) + 4 Reorder the terms: -1.2 + 0.9x = 1.8 + 4 + 2x Combine like terms: 1.8 + 4 = 5.8 -1.2 + 0.9x = 5.8 + 2x Solving -1.2 + 0.9x = 5.8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1.2 + 0.9x + -2x = 5.8 + 2x + -2x Combine like terms: 0.9x + -2x = -1.1x -1.2 + -1.1x = 5.8 + 2x + -2x Combine like terms: 2x + -2x = 0 -1.2 + -1.1x = 5.8 + 0 -1.2 + -1.1x = 5.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.1x = 5.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.1x = 5.8 + 1.2 -1.1x = 5.8 + 1.2 Combine like terms: 5.8 + 1.2 = 7 -1.1x = 7 Divide each side by '-1.1'. x = -6.363636364 Simplifying x = -6.363636364
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