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Simplifying 4(4x + -9) + -7 = 4(x + -2) + 49 Reorder the terms: 4(-9 + 4x) + -7 = 4(x + -2) + 49 (-9 * 4 + 4x * 4) + -7 = 4(x + -2) + 49 (-36 + 16x) + -7 = 4(x + -2) + 49 Reorder the terms: -36 + -7 + 16x = 4(x + -2) + 49 Combine like terms: -36 + -7 = -43 -43 + 16x = 4(x + -2) + 49 Reorder the terms: -43 + 16x = 4(-2 + x) + 49 -43 + 16x = (-2 * 4 + x * 4) + 49 -43 + 16x = (-8 + 4x) + 49 Reorder the terms: -43 + 16x = -8 + 49 + 4x Combine like terms: -8 + 49 = 41 -43 + 16x = 41 + 4x Solving -43 + 16x = 41 + 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 + 16x + -4x = 41 + 4x + -4x Combine like terms: 16x + -4x = 12x -43 + 12x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + 12x = 41 + 0 -43 + 12x = 41 Add '43' to each side of the equation. -43 + 43 + 12x = 41 + 43 Combine like terms: -43 + 43 = 0 0 + 12x = 41 + 43 12x = 41 + 43 Combine like terms: 41 + 43 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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