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Simplifying 4(x + 3) + -1(2x + 1) = 7(x + -3) Reorder the terms: 4(3 + x) + -1(2x + 1) = 7(x + -3) (3 * 4 + x * 4) + -1(2x + 1) = 7(x + -3) (12 + 4x) + -1(2x + 1) = 7(x + -3) Reorder the terms: 12 + 4x + -1(1 + 2x) = 7(x + -3) 12 + 4x + (1 * -1 + 2x * -1) = 7(x + -3) 12 + 4x + (-1 + -2x) = 7(x + -3) Reorder the terms: 12 + -1 + 4x + -2x = 7(x + -3) Combine like terms: 12 + -1 = 11 11 + 4x + -2x = 7(x + -3) Combine like terms: 4x + -2x = 2x 11 + 2x = 7(x + -3) Reorder the terms: 11 + 2x = 7(-3 + x) 11 + 2x = (-3 * 7 + x * 7) 11 + 2x = (-21 + 7x) Solving 11 + 2x = -21 + 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. 11 + 2x + -7x = -21 + 7x + -7x Combine like terms: 2x + -7x = -5x 11 + -5x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -5x = -21 + 0 11 + -5x = -21 Add '-11' to each side of the equation. 11 + -11 + -5x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = -21 + -11 -5x = -21 + -11 Combine like terms: -21 + -11 = -32 -5x = -32 Divide each side by '-5'. x = 6.4 Simplifying x = 6.4
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