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Simplifying 5(x + 4) + 4(x + -3) = 62 Reorder the terms: 5(4 + x) + 4(x + -3) = 62 (4 * 5 + x * 5) + 4(x + -3) = 62 (20 + 5x) + 4(x + -3) = 62 Reorder the terms: 20 + 5x + 4(-3 + x) = 62 20 + 5x + (-3 * 4 + x * 4) = 62 20 + 5x + (-12 + 4x) = 62 Reorder the terms: 20 + -12 + 5x + 4x = 62 Combine like terms: 20 + -12 = 8 8 + 5x + 4x = 62 Combine like terms: 5x + 4x = 9x 8 + 9x = 62 Solving 8 + 9x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 62 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 62 + -8 9x = 62 + -8 Combine like terms: 62 + -8 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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