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