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Simplifying 3(x + -9) + -4(5x + -12) = 7x Reorder the terms: 3(-9 + x) + -4(5x + -12) = 7x (-9 * 3 + x * 3) + -4(5x + -12) = 7x (-27 + 3x) + -4(5x + -12) = 7x Reorder the terms: -27 + 3x + -4(-12 + 5x) = 7x -27 + 3x + (-12 * -4 + 5x * -4) = 7x -27 + 3x + (48 + -20x) = 7x Reorder the terms: -27 + 48 + 3x + -20x = 7x Combine like terms: -27 + 48 = 21 21 + 3x + -20x = 7x Combine like terms: 3x + -20x = -17x 21 + -17x = 7x Solving 21 + -17x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 21 + -17x + -7x = 7x + -7x Combine like terms: -17x + -7x = -24x 21 + -24x = 7x + -7x Combine like terms: 7x + -7x = 0 21 + -24x = 0 Add '-21' to each side of the equation. 21 + -21 + -24x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = 0 + -21 -24x = 0 + -21 Combine like terms: 0 + -21 = -21 -24x = -21 Divide each side by '-24'. x = 0.875 Simplifying x = 0.875
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