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Simplifying 8(x + -4) + 3x = 11 + -2(x + 2) Reorder the terms: 8(-4 + x) + 3x = 11 + -2(x + 2) (-4 * 8 + x * 8) + 3x = 11 + -2(x + 2) (-32 + 8x) + 3x = 11 + -2(x + 2) Combine like terms: 8x + 3x = 11x -32 + 11x = 11 + -2(x + 2) Reorder the terms: -32 + 11x = 11 + -2(2 + x) -32 + 11x = 11 + (2 * -2 + x * -2) -32 + 11x = 11 + (-4 + -2x) Combine like terms: 11 + -4 = 7 -32 + 11x = 7 + -2x Solving -32 + 11x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 11x + 2x = 7 + -2x + 2x Combine like terms: 11x + 2x = 13x -32 + 13x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 13x = 7 + 0 -32 + 13x = 7 Add '32' to each side of the equation. -32 + 32 + 13x = 7 + 32 Combine like terms: -32 + 32 = 0 0 + 13x = 7 + 32 13x = 7 + 32 Combine like terms: 7 + 32 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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