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Simplifying 8(x + 2) + 3 = -2(x + -4) + -11 Reorder the terms: 8(2 + x) + 3 = -2(x + -4) + -11 (2 * 8 + x * 8) + 3 = -2(x + -4) + -11 (16 + 8x) + 3 = -2(x + -4) + -11 Reorder the terms: 16 + 3 + 8x = -2(x + -4) + -11 Combine like terms: 16 + 3 = 19 19 + 8x = -2(x + -4) + -11 Reorder the terms: 19 + 8x = -2(-4 + x) + -11 19 + 8x = (-4 * -2 + x * -2) + -11 19 + 8x = (8 + -2x) + -11 Reorder the terms: 19 + 8x = 8 + -11 + -2x Combine like terms: 8 + -11 = -3 19 + 8x = -3 + -2x Solving 19 + 8x = -3 + -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. 19 + 8x + 2x = -3 + -2x + 2x Combine like terms: 8x + 2x = 10x 19 + 10x = -3 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 10x = -3 + 0 19 + 10x = -3 Add '-19' to each side of the equation. 19 + -19 + 10x = -3 + -19 Combine like terms: 19 + -19 = 0 0 + 10x = -3 + -19 10x = -3 + -19 Combine like terms: -3 + -19 = -22 10x = -22 Divide each side by '10'. x = -2.2 Simplifying x = -2.2
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