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Simplifying 2(3x + -4) + -5 = -8 + -3x + 2(x + 8) Reorder the terms: 2(-4 + 3x) + -5 = -8 + -3x + 2(x + 8) (-4 * 2 + 3x * 2) + -5 = -8 + -3x + 2(x + 8) (-8 + 6x) + -5 = -8 + -3x + 2(x + 8) Reorder the terms: -8 + -5 + 6x = -8 + -3x + 2(x + 8) Combine like terms: -8 + -5 = -13 -13 + 6x = -8 + -3x + 2(x + 8) Reorder the terms: -13 + 6x = -8 + -3x + 2(8 + x) -13 + 6x = -8 + -3x + (8 * 2 + x * 2) -13 + 6x = -8 + -3x + (16 + 2x) Reorder the terms: -13 + 6x = -8 + 16 + -3x + 2x Combine like terms: -8 + 16 = 8 -13 + 6x = 8 + -3x + 2x Combine like terms: -3x + 2x = -1x -13 + 6x = 8 + -1x Solving -13 + 6x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + 6x + x = 8 + -1x + x Combine like terms: 6x + x = 7x -13 + 7x = 8 + -1x + x Combine like terms: -1x + x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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