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Simplifying 10x + 3 = 2(4x + -7) + -3 Reorder the terms: 3 + 10x = 2(4x + -7) + -3 Reorder the terms: 3 + 10x = 2(-7 + 4x) + -3 3 + 10x = (-7 * 2 + 4x * 2) + -3 3 + 10x = (-14 + 8x) + -3 Reorder the terms: 3 + 10x = -14 + -3 + 8x Combine like terms: -14 + -3 = -17 3 + 10x = -17 + 8x Solving 3 + 10x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 10x + -8x = -17 + 8x + -8x Combine like terms: 10x + -8x = 2x 3 + 2x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 2x = -17 + 0 3 + 2x = -17 Add '-3' to each side of the equation. 3 + -3 + 2x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -17 + -3 2x = -17 + -3 Combine like terms: -17 + -3 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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