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Simplifying 8(x + 2) = 3(x + -5) + -7(x + -3) Reorder the terms: 8(2 + x) = 3(x + -5) + -7(x + -3) (2 * 8 + x * 8) = 3(x + -5) + -7(x + -3) (16 + 8x) = 3(x + -5) + -7(x + -3) Reorder the terms: 16 + 8x = 3(-5 + x) + -7(x + -3) 16 + 8x = (-5 * 3 + x * 3) + -7(x + -3) 16 + 8x = (-15 + 3x) + -7(x + -3) Reorder the terms: 16 + 8x = -15 + 3x + -7(-3 + x) 16 + 8x = -15 + 3x + (-3 * -7 + x * -7) 16 + 8x = -15 + 3x + (21 + -7x) Reorder the terms: 16 + 8x = -15 + 21 + 3x + -7x Combine like terms: -15 + 21 = 6 16 + 8x = 6 + 3x + -7x Combine like terms: 3x + -7x = -4x 16 + 8x = 6 + -4x Solving 16 + 8x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 16 + 8x + 4x = 6 + -4x + 4x Combine like terms: 8x + 4x = 12x 16 + 12x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 12x = 6 + 0 16 + 12x = 6 Add '-16' to each side of the equation. 16 + -16 + 12x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 6 + -16 12x = 6 + -16 Combine like terms: 6 + -16 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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