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Simplifying 0.375(8x + 24) + 1 = 0.2(8x + -2) + 8 Reorder the terms: 0.375(24 + 8x) + 1 = 0.2(8x + -2) + 8 (24 * 0.375 + 8x * 0.375) + 1 = 0.2(8x + -2) + 8 (9 + 3x) + 1 = 0.2(8x + -2) + 8 Reorder the terms: 9 + 1 + 3x = 0.2(8x + -2) + 8 Combine like terms: 9 + 1 = 10 10 + 3x = 0.2(8x + -2) + 8 Reorder the terms: 10 + 3x = 0.2(-2 + 8x) + 8 10 + 3x = (-2 * 0.2 + 8x * 0.2) + 8 10 + 3x = (-0.4 + 1.6x) + 8 Reorder the terms: 10 + 3x = -0.4 + 8 + 1.6x Combine like terms: -0.4 + 8 = 7.6 10 + 3x = 7.6 + 1.6x Solving 10 + 3x = 7.6 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 10 + 3x + -1.6x = 7.6 + 1.6x + -1.6x Combine like terms: 3x + -1.6x = 1.4x 10 + 1.4x = 7.6 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 10 + 1.4x = 7.6 + 0.0 10 + 1.4x = 7.6 Add '-10' to each side of the equation. 10 + -10 + 1.4x = 7.6 + -10 Combine like terms: 10 + -10 = 0 0 + 1.4x = 7.6 + -10 1.4x = 7.6 + -10 Combine like terms: 7.6 + -10 = -2.4 1.4x = -2.4 Divide each side by '1.4'. x = -1.714285714 Simplifying x = -1.714285714
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