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Simplifying 2(4x + -4) + -5 = -1x + 23 Reorder the terms: 2(-4 + 4x) + -5 = -1x + 23 (-4 * 2 + 4x * 2) + -5 = -1x + 23 (-8 + 8x) + -5 = -1x + 23 Reorder the terms: -8 + -5 + 8x = -1x + 23 Combine like terms: -8 + -5 = -13 -13 + 8x = -1x + 23 Reorder the terms: -13 + 8x = 23 + -1x Solving -13 + 8x = 23 + -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 + 8x + x = 23 + -1x + x Combine like terms: 8x + x = 9x -13 + 9x = 23 + -1x + x Combine like terms: -1x + x = 0 -13 + 9x = 23 + 0 -13 + 9x = 23 Add '13' to each side of the equation. -13 + 13 + 9x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 23 + 13 9x = 23 + 13 Combine like terms: 23 + 13 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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