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Simplifying 3(4x + -3) + -4(2x + 1) = 2(3x + -11) + -3(x + 7) Reorder the terms: 3(-3 + 4x) + -4(2x + 1) = 2(3x + -11) + -3(x + 7) (-3 * 3 + 4x * 3) + -4(2x + 1) = 2(3x + -11) + -3(x + 7) (-9 + 12x) + -4(2x + 1) = 2(3x + -11) + -3(x + 7) Reorder the terms: -9 + 12x + -4(1 + 2x) = 2(3x + -11) + -3(x + 7) -9 + 12x + (1 * -4 + 2x * -4) = 2(3x + -11) + -3(x + 7) -9 + 12x + (-4 + -8x) = 2(3x + -11) + -3(x + 7) Reorder the terms: -9 + -4 + 12x + -8x = 2(3x + -11) + -3(x + 7) Combine like terms: -9 + -4 = -13 -13 + 12x + -8x = 2(3x + -11) + -3(x + 7) Combine like terms: 12x + -8x = 4x -13 + 4x = 2(3x + -11) + -3(x + 7) Reorder the terms: -13 + 4x = 2(-11 + 3x) + -3(x + 7) -13 + 4x = (-11 * 2 + 3x * 2) + -3(x + 7) -13 + 4x = (-22 + 6x) + -3(x + 7) Reorder the terms: -13 + 4x = -22 + 6x + -3(7 + x) -13 + 4x = -22 + 6x + (7 * -3 + x * -3) -13 + 4x = -22 + 6x + (-21 + -3x) Reorder the terms: -13 + 4x = -22 + -21 + 6x + -3x Combine like terms: -22 + -21 = -43 -13 + 4x = -43 + 6x + -3x Combine like terms: 6x + -3x = 3x -13 + 4x = -43 + 3x Solving -13 + 4x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 4x + -3x = -43 + 3x + -3x Combine like terms: 4x + -3x = 1x -13 + 1x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 1x = -43 + 0 -13 + 1x = -43 Add '13' to each side of the equation. -13 + 13 + 1x = -43 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -43 + 13 1x = -43 + 13 Combine like terms: -43 + 13 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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