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Simplifying 8(x + 1) + 2(5 + -3x) = 4(2x + -3) Reorder the terms: 8(1 + x) + 2(5 + -3x) = 4(2x + -3) (1 * 8 + x * 8) + 2(5 + -3x) = 4(2x + -3) (8 + 8x) + 2(5 + -3x) = 4(2x + -3) 8 + 8x + (5 * 2 + -3x * 2) = 4(2x + -3) 8 + 8x + (10 + -6x) = 4(2x + -3) Reorder the terms: 8 + 10 + 8x + -6x = 4(2x + -3) Combine like terms: 8 + 10 = 18 18 + 8x + -6x = 4(2x + -3) Combine like terms: 8x + -6x = 2x 18 + 2x = 4(2x + -3) Reorder the terms: 18 + 2x = 4(-3 + 2x) 18 + 2x = (-3 * 4 + 2x * 4) 18 + 2x = (-12 + 8x) Solving 18 + 2x = -12 + 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. 18 + 2x + -8x = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x 18 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -6x = -12 + 0 18 + -6x = -12 Add '-18' to each side of the equation. 18 + -18 + -6x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -12 + -18 -6x = -12 + -18 Combine like terms: -12 + -18 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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