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Simplifying 7 + -0.9(x + -4) = 0.2(5x + -4) Reorder the terms: 7 + -0.9(-4 + x) = 0.2(5x + -4) 7 + (-4 * -0.9 + x * -0.9) = 0.2(5x + -4) 7 + (3.6 + -0.9x) = 0.2(5x + -4) Combine like terms: 7 + 3.6 = 10.6 10.6 + -0.9x = 0.2(5x + -4) Reorder the terms: 10.6 + -0.9x = 0.2(-4 + 5x) 10.6 + -0.9x = (-4 * 0.2 + 5x * 0.2) 10.6 + -0.9x = (-0.8 + 1x) Solving 10.6 + -0.9x = -0.8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10.6 + -0.9x + -1x = -0.8 + 1x + -1x Combine like terms: -0.9x + -1x = -1.9x 10.6 + -1.9x = -0.8 + 1x + -1x Combine like terms: 1x + -1x = 0 10.6 + -1.9x = -0.8 + 0 10.6 + -1.9x = -0.8 Add '-10.6' to each side of the equation. 10.6 + -10.6 + -1.9x = -0.8 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + -1.9x = -0.8 + -10.6 -1.9x = -0.8 + -10.6 Combine like terms: -0.8 + -10.6 = -11.4 -1.9x = -11.4 Divide each side by '-1.9'. x = 6 Simplifying x = 6
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