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Simplifying 0.4(x + 0.7) = 0.6 + -1x + -4.2 Reorder the terms: 0.4(0.7 + x) = 0.6 + -1x + -4.2 (0.7 * 0.4 + x * 0.4) = 0.6 + -1x + -4.2 (0.28 + 0.4x) = 0.6 + -1x + -4.2 Reorder the terms: 0.28 + 0.4x = 0.6 + -4.2 + -1x Combine like terms: 0.6 + -4.2 = -3.6 0.28 + 0.4x = -3.6 + -1x Solving 0.28 + 0.4x = -3.6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.28 + 0.4x + x = -3.6 + -1x + x Combine like terms: 0.4x + x = 1.4x 0.28 + 1.4x = -3.6 + -1x + x Combine like terms: -1x + x = 0 0.28 + 1.4x = -3.6 + 0 0.28 + 1.4x = -3.6 Add '-0.28' to each side of the equation. 0.28 + -0.28 + 1.4x = -3.6 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + 1.4x = -3.6 + -0.28 1.4x = -3.6 + -0.28 Combine like terms: -3.6 + -0.28 = -3.88 1.4x = -3.88 Divide each side by '1.4'. x = -2.771428571 Simplifying x = -2.771428571
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