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Simplifying 8(0.05x + -2) = 3(x + 5) Reorder the terms: 8(-2 + 0.05x) = 3(x + 5) (-2 * 8 + 0.05x * 8) = 3(x + 5) (-16 + 0.4x) = 3(x + 5) Reorder the terms: -16 + 0.4x = 3(5 + x) -16 + 0.4x = (5 * 3 + x * 3) -16 + 0.4x = (15 + 3x) Solving -16 + 0.4x = 15 + 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. -16 + 0.4x + -3x = 15 + 3x + -3x Combine like terms: 0.4x + -3x = -2.6x -16 + -2.6x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -2.6x = 15 + 0 -16 + -2.6x = 15 Add '16' to each side of the equation. -16 + 16 + -2.6x = 15 + 16 Combine like terms: -16 + 16 = 0 0 + -2.6x = 15 + 16 -2.6x = 15 + 16 Combine like terms: 15 + 16 = 31 -2.6x = 31 Divide each side by '-2.6'. x = -11.92307692 Simplifying x = -11.92307692
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