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Simplifying 15x + 4 + -6x = 35 + 3x + -7 Reorder the terms: 4 + 15x + -6x = 35 + 3x + -7 Combine like terms: 15x + -6x = 9x 4 + 9x = 35 + 3x + -7 Reorder the terms: 4 + 9x = 35 + -7 + 3x Combine like terms: 35 + -7 = 28 4 + 9x = 28 + 3x Solving 4 + 9x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 9x + -3x = 28 + 3x + -3x Combine like terms: 9x + -3x = 6x 4 + 6x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 6x = 28 + 0 4 + 6x = 28 Add '-4' to each side of the equation. 4 + -4 + 6x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 28 + -4 6x = 28 + -4 Combine like terms: 28 + -4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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