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Simplifying 0.3(2x + 3) + 1.1 = -0.2(x + -3) + -1.8 Reorder the terms: 0.3(3 + 2x) + 1.1 = -0.2(x + -3) + -1.8 (3 * 0.3 + 2x * 0.3) + 1.1 = -0.2(x + -3) + -1.8 (0.9 + 0.6x) + 1.1 = -0.2(x + -3) + -1.8 Reorder the terms: 0.9 + 1.1 + 0.6x = -0.2(x + -3) + -1.8 Combine like terms: 0.9 + 1.1 = 2 2 + 0.6x = -0.2(x + -3) + -1.8 Reorder the terms: 2 + 0.6x = -0.2(-3 + x) + -1.8 2 + 0.6x = (-3 * -0.2 + x * -0.2) + -1.8 2 + 0.6x = (0.6 + -0.2x) + -1.8 Reorder the terms: 2 + 0.6x = 0.6 + -1.8 + -0.2x Combine like terms: 0.6 + -1.8 = -1.2 2 + 0.6x = -1.2 + -0.2x Solving 2 + 0.6x = -1.2 + -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. 2 + 0.6x + 0.2x = -1.2 + -0.2x + 0.2x Combine like terms: 0.6x + 0.2x = 0.8x 2 + 0.8x = -1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 2 + 0.8x = -1.2 + 0.0 2 + 0.8x = -1.2 Add '-2' to each side of the equation. 2 + -2 + 0.8x = -1.2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.8x = -1.2 + -2 0.8x = -1.2 + -2 Combine like terms: -1.2 + -2 = -3.2 0.8x = -3.2 Divide each side by '0.8'. x = -4 Simplifying x = -4
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