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Simplifying 4x + -3(2x + 1) = 3 + 2(3x + -11) Reorder the terms: 4x + -3(1 + 2x) = 3 + 2(3x + -11) 4x + (1 * -3 + 2x * -3) = 3 + 2(3x + -11) 4x + (-3 + -6x) = 3 + 2(3x + -11) Reorder the terms: -3 + 4x + -6x = 3 + 2(3x + -11) Combine like terms: 4x + -6x = -2x -3 + -2x = 3 + 2(3x + -11) Reorder the terms: -3 + -2x = 3 + 2(-11 + 3x) -3 + -2x = 3 + (-11 * 2 + 3x * 2) -3 + -2x = 3 + (-22 + 6x) Combine like terms: 3 + -22 = -19 -3 + -2x = -19 + 6x Solving -3 + -2x = -19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -2x + -6x = -19 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = -19 + 0 -3 + -8x = -19 Add '3' to each side of the equation. -3 + 3 + -8x = -19 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -19 + 3 -8x = -19 + 3 Combine like terms: -19 + 3 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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