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Simplifying 12 + 3(x + -4) + -21 = 5[5 + -4(4x)] Reorder the terms: 12 + 3(-4 + x) + -21 = 5[5 + -4(4x)] 12 + (-4 * 3 + x * 3) + -21 = 5[5 + -4(4x)] 12 + (-12 + 3x) + -21 = 5[5 + -4(4x)] Reorder the terms: 12 + -12 + -21 + 3x = 5[5 + -4(4x)] Combine like terms: 12 + -12 = 0 0 + -21 + 3x = 5[5 + -4(4x)] -21 + 3x = 5[5 + -4(4x)] Remove parenthesis around (4x) -21 + 3x = 5[5 + -4 * 4x] Multiply -4 * 4 -21 + 3x = 5[5 + -16x] -21 + 3x = [5 * 5 + -16x * 5] -21 + 3x = [25 + -80x] Solving -21 + 3x = 25 + -80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80x' to each side of the equation. -21 + 3x + 80x = 25 + -80x + 80x Combine like terms: 3x + 80x = 83x -21 + 83x = 25 + -80x + 80x Combine like terms: -80x + 80x = 0 -21 + 83x = 25 + 0 -21 + 83x = 25 Add '21' to each side of the equation. -21 + 21 + 83x = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 83x = 25 + 21 83x = 25 + 21 Combine like terms: 25 + 21 = 46 83x = 46 Divide each side by '83'. x = 0.5542168675 Simplifying x = 0.5542168675
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