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Simplifying 5(12 + -1x) + 9x = 28 + 7x + (3x + 4) (12 * 5 + -1x * 5) + 9x = 28 + 7x + (3x + 4) (60 + -5x) + 9x = 28 + 7x + (3x + 4) Combine like terms: -5x + 9x = 4x 60 + 4x = 28 + 7x + (3x + 4) Reorder the terms: 60 + 4x = 28 + 7x + (4 + 3x) Remove parenthesis around (4 + 3x) 60 + 4x = 28 + 7x + 4 + 3x Reorder the terms: 60 + 4x = 28 + 4 + 7x + 3x Combine like terms: 28 + 4 = 32 60 + 4x = 32 + 7x + 3x Combine like terms: 7x + 3x = 10x 60 + 4x = 32 + 10x Solving 60 + 4x = 32 + 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. 60 + 4x + -10x = 32 + 10x + -10x Combine like terms: 4x + -10x = -6x 60 + -6x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 60 + -6x = 32 + 0 60 + -6x = 32 Add '-60' to each side of the equation. 60 + -60 + -6x = 32 + -60 Combine like terms: 60 + -60 = 0 0 + -6x = 32 + -60 -6x = 32 + -60 Combine like terms: 32 + -60 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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