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Simplifying 4 + 5(3 + -1x) = 4(2x + 8) 4 + (3 * 5 + -1x * 5) = 4(2x + 8) 4 + (15 + -5x) = 4(2x + 8) Combine like terms: 4 + 15 = 19 19 + -5x = 4(2x + 8) Reorder the terms: 19 + -5x = 4(8 + 2x) 19 + -5x = (8 * 4 + 2x * 4) 19 + -5x = (32 + 8x) Solving 19 + -5x = 32 + 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. 19 + -5x + -8x = 32 + 8x + -8x Combine like terms: -5x + -8x = -13x 19 + -13x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -13x = 32 + 0 19 + -13x = 32 Add '-19' to each side of the equation. 19 + -19 + -13x = 32 + -19 Combine like terms: 19 + -19 = 0 0 + -13x = 32 + -19 -13x = 32 + -19 Combine like terms: 32 + -19 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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