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Simplifying 2(3x + -8) + -5 = 2(x + -4) + 23 Reorder the terms: 2(-8 + 3x) + -5 = 2(x + -4) + 23 (-8 * 2 + 3x * 2) + -5 = 2(x + -4) + 23 (-16 + 6x) + -5 = 2(x + -4) + 23 Reorder the terms: -16 + -5 + 6x = 2(x + -4) + 23 Combine like terms: -16 + -5 = -21 -21 + 6x = 2(x + -4) + 23 Reorder the terms: -21 + 6x = 2(-4 + x) + 23 -21 + 6x = (-4 * 2 + x * 2) + 23 -21 + 6x = (-8 + 2x) + 23 Reorder the terms: -21 + 6x = -8 + 23 + 2x Combine like terms: -8 + 23 = 15 -21 + 6x = 15 + 2x Solving -21 + 6x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 6x + -2x = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x -21 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 4x = 15 + 0 -21 + 4x = 15 Add '21' to each side of the equation. -21 + 21 + 4x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 15 + 21 4x = 15 + 21 Combine like terms: 15 + 21 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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