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Simplifying 2x + 5 + -3x = 6(x + 1) Reorder the terms: 5 + 2x + -3x = 6(x + 1) Combine like terms: 2x + -3x = -1x 5 + -1x = 6(x + 1) Reorder the terms: 5 + -1x = 6(1 + x) 5 + -1x = (1 * 6 + x * 6) 5 + -1x = (6 + 6x) Solving 5 + -1x = 6 + 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. 5 + -1x + -6x = 6 + 6x + -6x Combine like terms: -1x + -6x = -7x 5 + -7x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -7x = 6 + 0 5 + -7x = 6 Add '-5' to each side of the equation. 5 + -5 + -7x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 6 + -5 -7x = 6 + -5 Combine like terms: 6 + -5 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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