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Simplifying 4(x + -6) + 2x + -4 = 4(x + -7) + 4x Reorder the terms: 4(-6 + x) + 2x + -4 = 4(x + -7) + 4x (-6 * 4 + x * 4) + 2x + -4 = 4(x + -7) + 4x (-24 + 4x) + 2x + -4 = 4(x + -7) + 4x Reorder the terms: -24 + -4 + 4x + 2x = 4(x + -7) + 4x Combine like terms: -24 + -4 = -28 -28 + 4x + 2x = 4(x + -7) + 4x Combine like terms: 4x + 2x = 6x -28 + 6x = 4(x + -7) + 4x Reorder the terms: -28 + 6x = 4(-7 + x) + 4x -28 + 6x = (-7 * 4 + x * 4) + 4x -28 + 6x = (-28 + 4x) + 4x Combine like terms: 4x + 4x = 8x -28 + 6x = -28 + 8x Add '28' to each side of the equation. -28 + 28 + 6x = -28 + 28 + 8x Combine like terms: -28 + 28 = 0 0 + 6x = -28 + 28 + 8x 6x = -28 + 28 + 8x Combine like terms: -28 + 28 = 0 6x = 0 + 8x 6x = 8x Solving 6x = 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. 6x + -8x = 8x + -8x Combine like terms: 6x + -8x = -2x -2x = 8x + -8x Combine like terms: 8x + -8x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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