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Simplifying 7x + 5(x + -2) + 35 = -6(x + -3) + 18 Reorder the terms: 7x + 5(-2 + x) + 35 = -6(x + -3) + 18 7x + (-2 * 5 + x * 5) + 35 = -6(x + -3) + 18 7x + (-10 + 5x) + 35 = -6(x + -3) + 18 Reorder the terms: -10 + 35 + 7x + 5x = -6(x + -3) + 18 Combine like terms: -10 + 35 = 25 25 + 7x + 5x = -6(x + -3) + 18 Combine like terms: 7x + 5x = 12x 25 + 12x = -6(x + -3) + 18 Reorder the terms: 25 + 12x = -6(-3 + x) + 18 25 + 12x = (-3 * -6 + x * -6) + 18 25 + 12x = (18 + -6x) + 18 Reorder the terms: 25 + 12x = 18 + 18 + -6x Combine like terms: 18 + 18 = 36 25 + 12x = 36 + -6x Solving 25 + 12x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 25 + 12x + 6x = 36 + -6x + 6x Combine like terms: 12x + 6x = 18x 25 + 18x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 25 + 18x = 36 + 0 25 + 18x = 36 Add '-25' to each side of the equation. 25 + -25 + 18x = 36 + -25 Combine like terms: 25 + -25 = 0 0 + 18x = 36 + -25 18x = 36 + -25 Combine like terms: 36 + -25 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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