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Simplifying 10 + -1(6x + 4) = 2(2x + 5) + 2 Reorder the terms: 10 + -1(4 + 6x) = 2(2x + 5) + 2 10 + (4 * -1 + 6x * -1) = 2(2x + 5) + 2 10 + (-4 + -6x) = 2(2x + 5) + 2 Combine like terms: 10 + -4 = 6 6 + -6x = 2(2x + 5) + 2 Reorder the terms: 6 + -6x = 2(5 + 2x) + 2 6 + -6x = (5 * 2 + 2x * 2) + 2 6 + -6x = (10 + 4x) + 2 Reorder the terms: 6 + -6x = 10 + 2 + 4x Combine like terms: 10 + 2 = 12 6 + -6x = 12 + 4x Solving 6 + -6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -6x + -4x = 12 + 4x + -4x Combine like terms: -6x + -4x = -10x 6 + -10x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -10x = 12 + 0 6 + -10x = 12 Add '-6' to each side of the equation. 6 + -6 + -10x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 12 + -6 -10x = 12 + -6 Combine like terms: 12 + -6 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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