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Simplifying 5 + 3(x + 5) = x + 6(x + 1) + 7 Reorder the terms: 5 + 3(5 + x) = x + 6(x + 1) + 7 5 + (5 * 3 + x * 3) = x + 6(x + 1) + 7 5 + (15 + 3x) = x + 6(x + 1) + 7 Combine like terms: 5 + 15 = 20 20 + 3x = x + 6(x + 1) + 7 Reorder the terms: 20 + 3x = x + 6(1 + x) + 7 20 + 3x = x + (1 * 6 + x * 6) + 7 20 + 3x = x + (6 + 6x) + 7 Reorder the terms: 20 + 3x = 6 + 7 + x + 6x Combine like terms: 6 + 7 = 13 20 + 3x = 13 + x + 6x Combine like terms: x + 6x = 7x 20 + 3x = 13 + 7x Solving 20 + 3x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 3x + -7x = 13 + 7x + -7x Combine like terms: 3x + -7x = -4x 20 + -4x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -4x = 13 + 0 20 + -4x = 13 Add '-20' to each side of the equation. 20 + -20 + -4x = 13 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 13 + -20 -4x = 13 + -20 Combine like terms: 13 + -20 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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