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Simplifying 4(2x + -5) + -3 = 4(x + -3) + 21 Reorder the terms: 4(-5 + 2x) + -3 = 4(x + -3) + 21 (-5 * 4 + 2x * 4) + -3 = 4(x + -3) + 21 (-20 + 8x) + -3 = 4(x + -3) + 21 Reorder the terms: -20 + -3 + 8x = 4(x + -3) + 21 Combine like terms: -20 + -3 = -23 -23 + 8x = 4(x + -3) + 21 Reorder the terms: -23 + 8x = 4(-3 + x) + 21 -23 + 8x = (-3 * 4 + x * 4) + 21 -23 + 8x = (-12 + 4x) + 21 Reorder the terms: -23 + 8x = -12 + 21 + 4x Combine like terms: -12 + 21 = 9 -23 + 8x = 9 + 4x Solving -23 + 8x = 9 + 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. -23 + 8x + -4x = 9 + 4x + -4x Combine like terms: 8x + -4x = 4x -23 + 4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 4x = 9 + 0 -23 + 4x = 9 Add '23' to each side of the equation. -23 + 23 + 4x = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 9 + 23 4x = 9 + 23 Combine like terms: 9 + 23 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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