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Simplifying 4(2x + -4) + 8 + x + 13 = 3(2x + 4) + 8 Reorder the terms: 4(-4 + 2x) + 8 + x + 13 = 3(2x + 4) + 8 (-4 * 4 + 2x * 4) + 8 + x + 13 = 3(2x + 4) + 8 (-16 + 8x) + 8 + x + 13 = 3(2x + 4) + 8 Reorder the terms: -16 + 8 + 13 + 8x + x = 3(2x + 4) + 8 Combine like terms: -16 + 8 = -8 -8 + 13 + 8x + x = 3(2x + 4) + 8 Combine like terms: -8 + 13 = 5 5 + 8x + x = 3(2x + 4) + 8 Combine like terms: 8x + x = 9x 5 + 9x = 3(2x + 4) + 8 Reorder the terms: 5 + 9x = 3(4 + 2x) + 8 5 + 9x = (4 * 3 + 2x * 3) + 8 5 + 9x = (12 + 6x) + 8 Reorder the terms: 5 + 9x = 12 + 8 + 6x Combine like terms: 12 + 8 = 20 5 + 9x = 20 + 6x Solving 5 + 9x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 9x + -6x = 20 + 6x + -6x Combine like terms: 9x + -6x = 3x 5 + 3x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 3x = 20 + 0 5 + 3x = 20 Add '-5' to each side of the equation. 5 + -5 + 3x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 20 + -5 3x = 20 + -5 Combine like terms: 20 + -5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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