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Simplifying 5 + -2(3x + 4) = 4(x + -3) + -11 Reorder the terms: 5 + -2(4 + 3x) = 4(x + -3) + -11 5 + (4 * -2 + 3x * -2) = 4(x + -3) + -11 5 + (-8 + -6x) = 4(x + -3) + -11 Combine like terms: 5 + -8 = -3 -3 + -6x = 4(x + -3) + -11 Reorder the terms: -3 + -6x = 4(-3 + x) + -11 -3 + -6x = (-3 * 4 + x * 4) + -11 -3 + -6x = (-12 + 4x) + -11 Reorder the terms: -3 + -6x = -12 + -11 + 4x Combine like terms: -12 + -11 = -23 -3 + -6x = -23 + 4x Solving -3 + -6x = -23 + 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. -3 + -6x + -4x = -23 + 4x + -4x Combine like terms: -6x + -4x = -10x -3 + -10x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -10x = -23 + 0 -3 + -10x = -23 Add '3' to each side of the equation. -3 + 3 + -10x = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -23 + 3 -10x = -23 + 3 Combine like terms: -23 + 3 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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