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Simplifying 0.3x + -2(x + -1.2) = -0.7(x + -3) + -3.7 Reorder the terms: 0.3x + -2(-1.2 + x) = -0.7(x + -3) + -3.7 0.3x + (-1.2 * -2 + x * -2) = -0.7(x + -3) + -3.7 0.3x + (2.4 + -2x) = -0.7(x + -3) + -3.7 Reorder the terms: 2.4 + 0.3x + -2x = -0.7(x + -3) + -3.7 Combine like terms: 0.3x + -2x = -1.7x 2.4 + -1.7x = -0.7(x + -3) + -3.7 Reorder the terms: 2.4 + -1.7x = -0.7(-3 + x) + -3.7 2.4 + -1.7x = (-3 * -0.7 + x * -0.7) + -3.7 2.4 + -1.7x = (2.1 + -0.7x) + -3.7 Reorder the terms: 2.4 + -1.7x = 2.1 + -3.7 + -0.7x Combine like terms: 2.1 + -3.7 = -1.6 2.4 + -1.7x = -1.6 + -0.7x Solving 2.4 + -1.7x = -1.6 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 2.4 + -1.7x + 0.7x = -1.6 + -0.7x + 0.7x Combine like terms: -1.7x + 0.7x = -1x 2.4 + -1x = -1.6 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 2.4 + -1x = -1.6 + 0.0 2.4 + -1x = -1.6 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -1x = -1.6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1x = -1.6 + -2.4 -1x = -1.6 + -2.4 Combine like terms: -1.6 + -2.4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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