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Simplifying 10x + 12 = 3(2x + -1) Reorder the terms: 12 + 10x = 3(2x + -1) Reorder the terms: 12 + 10x = 3(-1 + 2x) 12 + 10x = (-1 * 3 + 2x * 3) 12 + 10x = (-3 + 6x) Solving 12 + 10x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 10x + -6x = -3 + 6x + -6x Combine like terms: 10x + -6x = 4x 12 + 4x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 4x = -3 + 0 12 + 4x = -3 Add '-12' to each side of the equation. 12 + -12 + 4x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -3 + -12 4x = -3 + -12 Combine like terms: -3 + -12 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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