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Simplifying 3x + 4(x + -2) = 3(2x + -1) + -5 Reorder the terms: 3x + 4(-2 + x) = 3(2x + -1) + -5 3x + (-2 * 4 + x * 4) = 3(2x + -1) + -5 3x + (-8 + 4x) = 3(2x + -1) + -5 Reorder the terms: -8 + 3x + 4x = 3(2x + -1) + -5 Combine like terms: 3x + 4x = 7x -8 + 7x = 3(2x + -1) + -5 Reorder the terms: -8 + 7x = 3(-1 + 2x) + -5 -8 + 7x = (-1 * 3 + 2x * 3) + -5 -8 + 7x = (-3 + 6x) + -5 Reorder the terms: -8 + 7x = -3 + -5 + 6x Combine like terms: -3 + -5 = -8 -8 + 7x = -8 + 6x Add '8' to each side of the equation. -8 + 8 + 7x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 7x = -8 + 8 + 6x 7x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 7x = 0 + 6x 7x = 6x Solving 7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7x + -6x = 6x + -6x Combine like terms: 7x + -6x = 1x 1x = 6x + -6x Combine like terms: 6x + -6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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