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Simplifying -4(3x + -1) + -3(4x + 7) = -7(4x + -10) Reorder the terms: -4(-1 + 3x) + -3(4x + 7) = -7(4x + -10) (-1 * -4 + 3x * -4) + -3(4x + 7) = -7(4x + -10) (4 + -12x) + -3(4x + 7) = -7(4x + -10) Reorder the terms: 4 + -12x + -3(7 + 4x) = -7(4x + -10) 4 + -12x + (7 * -3 + 4x * -3) = -7(4x + -10) 4 + -12x + (-21 + -12x) = -7(4x + -10) Reorder the terms: 4 + -21 + -12x + -12x = -7(4x + -10) Combine like terms: 4 + -21 = -17 -17 + -12x + -12x = -7(4x + -10) Combine like terms: -12x + -12x = -24x -17 + -24x = -7(4x + -10) Reorder the terms: -17 + -24x = -7(-10 + 4x) -17 + -24x = (-10 * -7 + 4x * -7) -17 + -24x = (70 + -28x) Solving -17 + -24x = 70 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -17 + -24x + 28x = 70 + -28x + 28x Combine like terms: -24x + 28x = 4x -17 + 4x = 70 + -28x + 28x Combine like terms: -28x + 28x = 0 -17 + 4x = 70 + 0 -17 + 4x = 70 Add '17' to each side of the equation. -17 + 17 + 4x = 70 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 70 + 17 4x = 70 + 17 Combine like terms: 70 + 17 = 87 4x = 87 Divide each side by '4'. x = 21.75 Simplifying x = 21.75
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