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Simplifying 10 + -2x = 4x + 3(2x + -1) + 1 Reorder the terms: 10 + -2x = 4x + 3(-1 + 2x) + 1 10 + -2x = 4x + (-1 * 3 + 2x * 3) + 1 10 + -2x = 4x + (-3 + 6x) + 1 Reorder the terms: 10 + -2x = -3 + 1 + 4x + 6x Combine like terms: -3 + 1 = -2 10 + -2x = -2 + 4x + 6x Combine like terms: 4x + 6x = 10x 10 + -2x = -2 + 10x Solving 10 + -2x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -2x + -10x = -2 + 10x + -10x Combine like terms: -2x + -10x = -12x 10 + -12x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -12x = -2 + 0 10 + -12x = -2 Add '-10' to each side of the equation. 10 + -10 + -12x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -2 + -10 -12x = -2 + -10 Combine like terms: -2 + -10 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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