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Simplifying 3(x + 7) + 2(x + -4) = 4(x + 8) Reorder the terms: 3(7 + x) + 2(x + -4) = 4(x + 8) (7 * 3 + x * 3) + 2(x + -4) = 4(x + 8) (21 + 3x) + 2(x + -4) = 4(x + 8) Reorder the terms: 21 + 3x + 2(-4 + x) = 4(x + 8) 21 + 3x + (-4 * 2 + x * 2) = 4(x + 8) 21 + 3x + (-8 + 2x) = 4(x + 8) Reorder the terms: 21 + -8 + 3x + 2x = 4(x + 8) Combine like terms: 21 + -8 = 13 13 + 3x + 2x = 4(x + 8) Combine like terms: 3x + 2x = 5x 13 + 5x = 4(x + 8) Reorder the terms: 13 + 5x = 4(8 + x) 13 + 5x = (8 * 4 + x * 4) 13 + 5x = (32 + 4x) Solving 13 + 5x = 32 + 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 + 5x + -4x = 32 + 4x + -4x Combine like terms: 5x + -4x = 1x 13 + 1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 1x = 32 + 0 13 + 1x = 32 Add '-13' to each side of the equation. 13 + -13 + 1x = 32 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 32 + -13 1x = 32 + -13 Combine like terms: 32 + -13 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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