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Simplifying 6x + -2(2x + -3) = 4(x + 1) + 4 Reorder the terms: 6x + -2(-3 + 2x) = 4(x + 1) + 4 6x + (-3 * -2 + 2x * -2) = 4(x + 1) + 4 6x + (6 + -4x) = 4(x + 1) + 4 Reorder the terms: 6 + 6x + -4x = 4(x + 1) + 4 Combine like terms: 6x + -4x = 2x 6 + 2x = 4(x + 1) + 4 Reorder the terms: 6 + 2x = 4(1 + x) + 4 6 + 2x = (1 * 4 + x * 4) + 4 6 + 2x = (4 + 4x) + 4 Reorder the terms: 6 + 2x = 4 + 4 + 4x Combine like terms: 4 + 4 = 8 6 + 2x = 8 + 4x Solving 6 + 2x = 8 + 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 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = 8 + 0 6 + -2x = 8 Add '-6' to each side of the equation. 6 + -6 + -2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 8 + -6 -2x = 8 + -6 Combine like terms: 8 + -6 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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