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Simplifying 4x + -7 + 2x = 2(4x + -3) + -1 Reorder the terms: -7 + 4x + 2x = 2(4x + -3) + -1 Combine like terms: 4x + 2x = 6x -7 + 6x = 2(4x + -3) + -1 Reorder the terms: -7 + 6x = 2(-3 + 4x) + -1 -7 + 6x = (-3 * 2 + 4x * 2) + -1 -7 + 6x = (-6 + 8x) + -1 Reorder the terms: -7 + 6x = -6 + -1 + 8x Combine like terms: -6 + -1 = -7 -7 + 6x = -7 + 8x Add '7' to each side of the equation. -7 + 7 + 6x = -7 + 7 + 8x Combine like terms: -7 + 7 = 0 0 + 6x = -7 + 7 + 8x 6x = -7 + 7 + 8x Combine like terms: -7 + 7 = 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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