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Simplifying -7(x + 3) + 3(4x + -3) = 4(x + -3) + 11 Reorder the terms: -7(3 + x) + 3(4x + -3) = 4(x + -3) + 11 (3 * -7 + x * -7) + 3(4x + -3) = 4(x + -3) + 11 (-21 + -7x) + 3(4x + -3) = 4(x + -3) + 11 Reorder the terms: -21 + -7x + 3(-3 + 4x) = 4(x + -3) + 11 -21 + -7x + (-3 * 3 + 4x * 3) = 4(x + -3) + 11 -21 + -7x + (-9 + 12x) = 4(x + -3) + 11 Reorder the terms: -21 + -9 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -21 + -9 = -30 -30 + -7x + 12x = 4(x + -3) + 11 Combine like terms: -7x + 12x = 5x -30 + 5x = 4(x + -3) + 11 Reorder the terms: -30 + 5x = 4(-3 + x) + 11 -30 + 5x = (-3 * 4 + x * 4) + 11 -30 + 5x = (-12 + 4x) + 11 Reorder the terms: -30 + 5x = -12 + 11 + 4x Combine like terms: -12 + 11 = -1 -30 + 5x = -1 + 4x Solving -30 + 5x = -1 + 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. -30 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -30 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 1x = -1 + 0 -30 + 1x = -1 Add '30' to each side of the equation. -30 + 30 + 1x = -1 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -1 + 30 1x = -1 + 30 Combine like terms: -1 + 30 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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