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Simplifying 6x + 10 = 2(4x + -2) Reorder the terms: 10 + 6x = 2(4x + -2) Reorder the terms: 10 + 6x = 2(-2 + 4x) 10 + 6x = (-2 * 2 + 4x * 2) 10 + 6x = (-4 + 8x) Solving 10 + 6x = -4 + 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. 10 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -4 + 0 10 + -2x = -4 Add '-10' to each side of the equation. 10 + -10 + -2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -4 + -10 -2x = -4 + -10 Combine like terms: -4 + -10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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