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Simplifying 3x + 8(x + 7) = 2(5x + -4) + 13 Reorder the terms: 3x + 8(7 + x) = 2(5x + -4) + 13 3x + (7 * 8 + x * 8) = 2(5x + -4) + 13 3x + (56 + 8x) = 2(5x + -4) + 13 Reorder the terms: 56 + 3x + 8x = 2(5x + -4) + 13 Combine like terms: 3x + 8x = 11x 56 + 11x = 2(5x + -4) + 13 Reorder the terms: 56 + 11x = 2(-4 + 5x) + 13 56 + 11x = (-4 * 2 + 5x * 2) + 13 56 + 11x = (-8 + 10x) + 13 Reorder the terms: 56 + 11x = -8 + 13 + 10x Combine like terms: -8 + 13 = 5 56 + 11x = 5 + 10x Solving 56 + 11x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 56 + 11x + -10x = 5 + 10x + -10x Combine like terms: 11x + -10x = 1x 56 + 1x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 56 + 1x = 5 + 0 56 + 1x = 5 Add '-56' to each side of the equation. 56 + -56 + 1x = 5 + -56 Combine like terms: 56 + -56 = 0 0 + 1x = 5 + -56 1x = 5 + -56 Combine like terms: 5 + -56 = -51 1x = -51 Divide each side by '1'. x = -51 Simplifying x = -51
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