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Simplifying 0.6 + -1.6(x + -4) = 3(7 + -0.4x) Reorder the terms: 0.6 + -1.6(-4 + x) = 3(7 + -0.4x) 0.6 + (-4 * -1.6 + x * -1.6) = 3(7 + -0.4x) 0.6 + (6.4 + -1.6x) = 3(7 + -0.4x) Combine like terms: 0.6 + 6.4 = 7 7 + -1.6x = 3(7 + -0.4x) 7 + -1.6x = (7 * 3 + -0.4x * 3) 7 + -1.6x = (21 + -1.2x) Solving 7 + -1.6x = 21 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 7 + -1.6x + 1.2x = 21 + -1.2x + 1.2x Combine like terms: -1.6x + 1.2x = -0.4x 7 + -0.4x = 21 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 7 + -0.4x = 21 + 0.0 7 + -0.4x = 21 Add '-7' to each side of the equation. 7 + -7 + -0.4x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + -0.4x = 21 + -7 -0.4x = 21 + -7 Combine like terms: 21 + -7 = 14 -0.4x = 14 Divide each side by '-0.4'. x = -35 Simplifying x = -35
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