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Simplifying 0.4[x + 0.7] = 0.6x + -4.2 Reorder the terms: 0.4[0.7 + x] = 0.6x + -4.2 [0.7 * 0.4 + x * 0.4] = 0.6x + -4.2 [0.28 + 0.4x] = 0.6x + -4.2 Reorder the terms: 0.28 + 0.4x = -4.2 + 0.6x Solving 0.28 + 0.4x = -4.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.28 + 0.4x + -0.6x = -4.2 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 0.28 + -0.2x = -4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.28 + -0.2x = -4.2 + 0.0 0.28 + -0.2x = -4.2 Add '-0.28' to each side of the equation. 0.28 + -0.28 + -0.2x = -4.2 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.2x = -4.2 + -0.28 -0.2x = -4.2 + -0.28 Combine like terms: -4.2 + -0.28 = -4.48 -0.2x = -4.48 Divide each side by '-0.2'. x = 22.4 Simplifying x = 22.4
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