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Simplifying -5x + 7 = 2(x + -3) + 8 Reorder the terms: 7 + -5x = 2(x + -3) + 8 Reorder the terms: 7 + -5x = 2(-3 + x) + 8 7 + -5x = (-3 * 2 + x * 2) + 8 7 + -5x = (-6 + 2x) + 8 Reorder the terms: 7 + -5x = -6 + 8 + 2x Combine like terms: -6 + 8 = 2 7 + -5x = 2 + 2x Solving 7 + -5x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -5x + -2x = 2 + 2x + -2x Combine like terms: -5x + -2x = -7x 7 + -7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -7x = 2 + 0 7 + -7x = 2 Add '-7' to each side of the equation. 7 + -7 + -7x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 2 + -7 -7x = 2 + -7 Combine like terms: 2 + -7 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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