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Simplifying 8(x + 0.5) = 3(x + -4.2) + 2.6 Reorder the terms: 8(0.5 + x) = 3(x + -4.2) + 2.6 (0.5 * 8 + x * 8) = 3(x + -4.2) + 2.6 (4 + 8x) = 3(x + -4.2) + 2.6 Reorder the terms: 4 + 8x = 3(-4.2 + x) + 2.6 4 + 8x = (-4.2 * 3 + x * 3) + 2.6 4 + 8x = (-12.6 + 3x) + 2.6 Reorder the terms: 4 + 8x = -12.6 + 2.6 + 3x Combine like terms: -12.6 + 2.6 = -10 4 + 8x = -10 + 3x Solving 4 + 8x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 8x + -3x = -10 + 3x + -3x Combine like terms: 8x + -3x = 5x 4 + 5x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 5x = -10 + 0 4 + 5x = -10 Add '-4' to each side of the equation. 4 + -4 + 5x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -10 + -4 5x = -10 + -4 Combine like terms: -10 + -4 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8
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