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Simplifying 5x + 1 + 2(x + 3) = 4(2x + -5) Reorder the terms: 5x + 1 + 2(3 + x) = 4(2x + -5) 5x + 1 + (3 * 2 + x * 2) = 4(2x + -5) 5x + 1 + (6 + 2x) = 4(2x + -5) Reorder the terms: 1 + 6 + 5x + 2x = 4(2x + -5) Combine like terms: 1 + 6 = 7 7 + 5x + 2x = 4(2x + -5) Combine like terms: 5x + 2x = 7x 7 + 7x = 4(2x + -5) Reorder the terms: 7 + 7x = 4(-5 + 2x) 7 + 7x = (-5 * 4 + 2x * 4) 7 + 7x = (-20 + 8x) Solving 7 + 7x = -20 + 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. 7 + 7x + -8x = -20 + 8x + -8x Combine like terms: 7x + -8x = -1x 7 + -1x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -1x = -20 + 0 7 + -1x = -20 Add '-7' to each side of the equation. 7 + -7 + -1x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -20 + -7 -1x = -20 + -7 Combine like terms: -20 + -7 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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