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Simplifying 10x + 7 = 9x + 10 + 2(x + -3) Reorder the terms: 7 + 10x = 9x + 10 + 2(x + -3) Reorder the terms: 7 + 10x = 9x + 10 + 2(-3 + x) 7 + 10x = 9x + 10 + (-3 * 2 + x * 2) 7 + 10x = 9x + 10 + (-6 + 2x) Reorder the terms: 7 + 10x = 10 + -6 + 9x + 2x Combine like terms: 10 + -6 = 4 7 + 10x = 4 + 9x + 2x Combine like terms: 9x + 2x = 11x 7 + 10x = 4 + 11x Solving 7 + 10x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 10x + -11x = 4 + 11x + -11x Combine like terms: 10x + -11x = -1x 7 + -1x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -1x = 4 + 0 7 + -1x = 4 Add '-7' to each side of the equation. 7 + -7 + -1x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 4 + -7 -1x = 4 + -7 Combine like terms: 4 + -7 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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