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Simplifying 5(x + -2) + -2(x + 3) = 8x + 16 Reorder the terms: 5(-2 + x) + -2(x + 3) = 8x + 16 (-2 * 5 + x * 5) + -2(x + 3) = 8x + 16 (-10 + 5x) + -2(x + 3) = 8x + 16 Reorder the terms: -10 + 5x + -2(3 + x) = 8x + 16 -10 + 5x + (3 * -2 + x * -2) = 8x + 16 -10 + 5x + (-6 + -2x) = 8x + 16 Reorder the terms: -10 + -6 + 5x + -2x = 8x + 16 Combine like terms: -10 + -6 = -16 -16 + 5x + -2x = 8x + 16 Combine like terms: 5x + -2x = 3x -16 + 3x = 8x + 16 Reorder the terms: -16 + 3x = 16 + 8x Solving -16 + 3x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 3x + -8x = 16 + 8x + -8x Combine like terms: 3x + -8x = -5x -16 + -5x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -5x = 16 + 0 -16 + -5x = 16 Add '16' to each side of the equation. -16 + 16 + -5x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 16 + 16 -5x = 16 + 16 Combine like terms: 16 + 16 = 32 -5x = 32 Divide each side by '-5'. x = -6.4 Simplifying x = -6.4
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