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Simplifying 6x + -4(x + -3) = 4(x + 1) + 4 Reorder the terms: 6x + -4(-3 + x) = 4(x + 1) + 4 6x + (-3 * -4 + x * -4) = 4(x + 1) + 4 6x + (12 + -4x) = 4(x + 1) + 4 Reorder the terms: 12 + 6x + -4x = 4(x + 1) + 4 Combine like terms: 6x + -4x = 2x 12 + 2x = 4(x + 1) + 4 Reorder the terms: 12 + 2x = 4(1 + x) + 4 12 + 2x = (1 * 4 + x * 4) + 4 12 + 2x = (4 + 4x) + 4 Reorder the terms: 12 + 2x = 4 + 4 + 4x Combine like terms: 4 + 4 = 8 12 + 2x = 8 + 4x Solving 12 + 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. 12 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = 8 + 0 12 + -2x = 8 Add '-12' to each side of the equation. 12 + -12 + -2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 8 + -12 -2x = 8 + -12 Combine like terms: 8 + -12 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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