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