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Simplifying 2(x + -4) + 4x = 2(x + 1) + -1(x + -3) Reorder the terms: 2(-4 + x) + 4x = 2(x + 1) + -1(x + -3) (-4 * 2 + x * 2) + 4x = 2(x + 1) + -1(x + -3) (-8 + 2x) + 4x = 2(x + 1) + -1(x + -3) Combine like terms: 2x + 4x = 6x -8 + 6x = 2(x + 1) + -1(x + -3) Reorder the terms: -8 + 6x = 2(1 + x) + -1(x + -3) -8 + 6x = (1 * 2 + x * 2) + -1(x + -3) -8 + 6x = (2 + 2x) + -1(x + -3) Reorder the terms: -8 + 6x = 2 + 2x + -1(-3 + x) -8 + 6x = 2 + 2x + (-3 * -1 + x * -1) -8 + 6x = 2 + 2x + (3 + -1x) Reorder the terms: -8 + 6x = 2 + 3 + 2x + -1x Combine like terms: 2 + 3 = 5 -8 + 6x = 5 + 2x + -1x Combine like terms: 2x + -1x = 1x -8 + 6x = 5 + 1x Solving -8 + 6x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 6x + -1x = 5 + 1x + -1x Combine like terms: 6x + -1x = 5x -8 + 5x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 5x = 5 + 0 -8 + 5x = 5 Add '8' to each side of the equation. -8 + 8 + 5x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 5 + 8 5x = 5 + 8 Combine like terms: 5 + 8 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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