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Simplifying 8(x + 2) + 3 = -4(x + -3) + -9 Reorder the terms: 8(2 + x) + 3 = -4(x + -3) + -9 (2 * 8 + x * 8) + 3 = -4(x + -3) + -9 (16 + 8x) + 3 = -4(x + -3) + -9 Reorder the terms: 16 + 3 + 8x = -4(x + -3) + -9 Combine like terms: 16 + 3 = 19 19 + 8x = -4(x + -3) + -9 Reorder the terms: 19 + 8x = -4(-3 + x) + -9 19 + 8x = (-3 * -4 + x * -4) + -9 19 + 8x = (12 + -4x) + -9 Reorder the terms: 19 + 8x = 12 + -9 + -4x Combine like terms: 12 + -9 = 3 19 + 8x = 3 + -4x Solving 19 + 8x = 3 + -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. 19 + 8x + 4x = 3 + -4x + 4x Combine like terms: 8x + 4x = 12x 19 + 12x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 12x = 3 + 0 19 + 12x = 3 Add '-19' to each side of the equation. 19 + -19 + 12x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 12x = 3 + -19 12x = 3 + -19 Combine like terms: 3 + -19 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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