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Simplifying 62x + -49 + 16x + 53 + -18x + 76 = 54 + -13x + 101 + 11x + 82 + 30x + 3 Reorder the terms: -49 + 53 + 76 + 62x + 16x + -18x = 54 + -13x + 101 + 11x + 82 + 30x + 3 Combine like terms: -49 + 53 = 4 4 + 76 + 62x + 16x + -18x = 54 + -13x + 101 + 11x + 82 + 30x + 3 Combine like terms: 4 + 76 = 80 80 + 62x + 16x + -18x = 54 + -13x + 101 + 11x + 82 + 30x + 3 Combine like terms: 62x + 16x = 78x 80 + 78x + -18x = 54 + -13x + 101 + 11x + 82 + 30x + 3 Combine like terms: 78x + -18x = 60x 80 + 60x = 54 + -13x + 101 + 11x + 82 + 30x + 3 Reorder the terms: 80 + 60x = 54 + 101 + 82 + 3 + -13x + 11x + 30x Combine like terms: 54 + 101 = 155 80 + 60x = 155 + 82 + 3 + -13x + 11x + 30x Combine like terms: 155 + 82 = 237 80 + 60x = 237 + 3 + -13x + 11x + 30x Combine like terms: 237 + 3 = 240 80 + 60x = 240 + -13x + 11x + 30x Combine like terms: -13x + 11x = -2x 80 + 60x = 240 + -2x + 30x Combine like terms: -2x + 30x = 28x 80 + 60x = 240 + 28x Solving 80 + 60x = 240 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 80 + 60x + -28x = 240 + 28x + -28x Combine like terms: 60x + -28x = 32x 80 + 32x = 240 + 28x + -28x Combine like terms: 28x + -28x = 0 80 + 32x = 240 + 0 80 + 32x = 240 Add '-80' to each side of the equation. 80 + -80 + 32x = 240 + -80 Combine like terms: 80 + -80 = 0 0 + 32x = 240 + -80 32x = 240 + -80 Combine like terms: 240 + -80 = 160 32x = 160 Divide each side by '32'. x = 5 Simplifying x = 5
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