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Simplifying 0.5(6x + 4) = 5[0.2x + (-3)] + 20 Reorder the terms: 0.5(4 + 6x) = 5[0.2x + (-3)] + 20 (4 * 0.5 + 6x * 0.5) = 5[0.2x + (-3)] + 20 (2 + 3x) = 5[0.2x + (-3)] + 20 2 + 3x = 5[0.2x + -3] + 20 Reorder the terms: 2 + 3x = 5[-3 + 0.2x] + 20 2 + 3x = [-3 * 5 + 0.2x * 5] + 20 2 + 3x = [-15 + 1x] + 20 Reorder the terms: 2 + 3x = -15 + 20 + 1x Combine like terms: -15 + 20 = 5 2 + 3x = 5 + 1x Solving 2 + 3x = 5 + 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. 2 + 3x + -1x = 5 + 1x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 2x = 5 + 0 2 + 2x = 5 Add '-2' to each side of the equation. 2 + -2 + 2x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 5 + -2 2x = 5 + -2 Combine like terms: 5 + -2 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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