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Simplifying 6(2x + 1) + -3x = -2(x + -15) + 5x Reorder the terms: 6(1 + 2x) + -3x = -2(x + -15) + 5x (1 * 6 + 2x * 6) + -3x = -2(x + -15) + 5x (6 + 12x) + -3x = -2(x + -15) + 5x Combine like terms: 12x + -3x = 9x 6 + 9x = -2(x + -15) + 5x Reorder the terms: 6 + 9x = -2(-15 + x) + 5x 6 + 9x = (-15 * -2 + x * -2) + 5x 6 + 9x = (30 + -2x) + 5x Combine like terms: -2x + 5x = 3x 6 + 9x = 30 + 3x Solving 6 + 9x = 30 + 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. 6 + 9x + -3x = 30 + 3x + -3x Combine like terms: 9x + -3x = 6x 6 + 6x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 6x = 30 + 0 6 + 6x = 30 Add '-6' to each side of the equation. 6 + -6 + 6x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 30 + -6 6x = 30 + -6 Combine like terms: 30 + -6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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