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Simplifying 4(3x + -9) + -7 = 4(x + -2) + 21 Reorder the terms: 4(-9 + 3x) + -7 = 4(x + -2) + 21 (-9 * 4 + 3x * 4) + -7 = 4(x + -2) + 21 (-36 + 12x) + -7 = 4(x + -2) + 21 Reorder the terms: -36 + -7 + 12x = 4(x + -2) + 21 Combine like terms: -36 + -7 = -43 -43 + 12x = 4(x + -2) + 21 Reorder the terms: -43 + 12x = 4(-2 + x) + 21 -43 + 12x = (-2 * 4 + x * 4) + 21 -43 + 12x = (-8 + 4x) + 21 Reorder the terms: -43 + 12x = -8 + 21 + 4x Combine like terms: -8 + 21 = 13 -43 + 12x = 13 + 4x Solving -43 + 12x = 13 + 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. -43 + 12x + -4x = 13 + 4x + -4x Combine like terms: 12x + -4x = 8x -43 + 8x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + 8x = 13 + 0 -43 + 8x = 13 Add '43' to each side of the equation. -43 + 43 + 8x = 13 + 43 Combine like terms: -43 + 43 = 0 0 + 8x = 13 + 43 8x = 13 + 43 Combine like terms: 13 + 43 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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