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Simplifying 4(x + -3) + 3x = -1(5x + -21) + x Reorder the terms: 4(-3 + x) + 3x = -1(5x + -21) + x (-3 * 4 + x * 4) + 3x = -1(5x + -21) + x (-12 + 4x) + 3x = -1(5x + -21) + x Combine like terms: 4x + 3x = 7x -12 + 7x = -1(5x + -21) + x Reorder the terms: -12 + 7x = -1(-21 + 5x) + x -12 + 7x = (-21 * -1 + 5x * -1) + x -12 + 7x = (21 + -5x) + x Combine like terms: -5x + x = -4x -12 + 7x = 21 + -4x Solving -12 + 7x = 21 + -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. -12 + 7x + 4x = 21 + -4x + 4x Combine like terms: 7x + 4x = 11x -12 + 11x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 11x = 21 + 0 -12 + 11x = 21 Add '12' to each side of the equation. -12 + 12 + 11x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 21 + 12 11x = 21 + 12 Combine like terms: 21 + 12 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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