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Simplifying 90 = (4x + 12) + (6x + 8) Reorder the terms: 90 = (12 + 4x) + (6x + 8) Remove parenthesis around (12 + 4x) 90 = 12 + 4x + (6x + 8) Reorder the terms: 90 = 12 + 4x + (8 + 6x) Remove parenthesis around (8 + 6x) 90 = 12 + 4x + 8 + 6x Reorder the terms: 90 = 12 + 8 + 4x + 6x Combine like terms: 12 + 8 = 20 90 = 20 + 4x + 6x Combine like terms: 4x + 6x = 10x 90 = 20 + 10x Solving 90 = 20 + 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. 90 + -10x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 90 + -10x = 20 + 0 90 + -10x = 20 Add '-90' to each side of the equation. 90 + -90 + -10x = 20 + -90 Combine like terms: 90 + -90 = 0 0 + -10x = 20 + -90 -10x = 20 + -90 Combine like terms: 20 + -90 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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