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Simplifying 4(2x + -3) + -5 = 4(x + -4) + 23 Reorder the terms: 4(-3 + 2x) + -5 = 4(x + -4) + 23 (-3 * 4 + 2x * 4) + -5 = 4(x + -4) + 23 (-12 + 8x) + -5 = 4(x + -4) + 23 Reorder the terms: -12 + -5 + 8x = 4(x + -4) + 23 Combine like terms: -12 + -5 = -17 -17 + 8x = 4(x + -4) + 23 Reorder the terms: -17 + 8x = 4(-4 + x) + 23 -17 + 8x = (-4 * 4 + x * 4) + 23 -17 + 8x = (-16 + 4x) + 23 Reorder the terms: -17 + 8x = -16 + 23 + 4x Combine like terms: -16 + 23 = 7 -17 + 8x = 7 + 4x Solving -17 + 8x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 8x + -4x = 7 + 4x + -4x Combine like terms: 8x + -4x = 4x -17 + 4x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 4x = 7 + 0 -17 + 4x = 7 Add '17' to each side of the equation. -17 + 17 + 4x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 7 + 17 4x = 7 + 17 Combine like terms: 7 + 17 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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