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Simplifying -3(2x + -4x) + 4 = -4(5x + -3x + 1) + 10 + 13x Combine like terms: 2x + -4x = -2x -3(-2x) + 4 = -4(5x + -3x + 1) + 10 + 13x Remove parenthesis around (-2x) -3 * -2x + 4 = -4(5x + -3x + 1) + 10 + 13x Multiply -3 * -2 6x + 4 = -4(5x + -3x + 1) + 10 + 13x Reorder the terms: 4 + 6x = -4(5x + -3x + 1) + 10 + 13x Reorder the terms: 4 + 6x = -4(1 + 5x + -3x) + 10 + 13x Combine like terms: 5x + -3x = 2x 4 + 6x = -4(1 + 2x) + 10 + 13x 4 + 6x = (1 * -4 + 2x * -4) + 10 + 13x 4 + 6x = (-4 + -8x) + 10 + 13x Reorder the terms: 4 + 6x = -4 + 10 + -8x + 13x Combine like terms: -4 + 10 = 6 4 + 6x = 6 + -8x + 13x Combine like terms: -8x + 13x = 5x 4 + 6x = 6 + 5x Solving 4 + 6x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 6x + -5x = 6 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 6 + 0 4 + 1x = 6 Add '-4' to each side of the equation. 4 + -4 + 1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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