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Simplifying 7 + 2(x + 3) = 8 + 4(x + 1) Reorder the terms: 7 + 2(3 + x) = 8 + 4(x + 1) 7 + (3 * 2 + x * 2) = 8 + 4(x + 1) 7 + (6 + 2x) = 8 + 4(x + 1) Combine like terms: 7 + 6 = 13 13 + 2x = 8 + 4(x + 1) Reorder the terms: 13 + 2x = 8 + 4(1 + x) 13 + 2x = 8 + (1 * 4 + x * 4) 13 + 2x = 8 + (4 + 4x) Combine like terms: 8 + 4 = 12 13 + 2x = 12 + 4x Solving 13 + 2x = 12 + 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. 13 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x 13 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -2x = 12 + 0 13 + -2x = 12 Add '-13' to each side of the equation. 13 + -13 + -2x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 12 + -13 -2x = 12 + -13 Combine like terms: 12 + -13 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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