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Simplifying 8(3x + 2) = 7(x + -2) + 11 Reorder the terms: 8(2 + 3x) = 7(x + -2) + 11 (2 * 8 + 3x * 8) = 7(x + -2) + 11 (16 + 24x) = 7(x + -2) + 11 Reorder the terms: 16 + 24x = 7(-2 + x) + 11 16 + 24x = (-2 * 7 + x * 7) + 11 16 + 24x = (-14 + 7x) + 11 Reorder the terms: 16 + 24x = -14 + 11 + 7x Combine like terms: -14 + 11 = -3 16 + 24x = -3 + 7x Solving 16 + 24x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 24x + -7x = -3 + 7x + -7x Combine like terms: 24x + -7x = 17x 16 + 17x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 17x = -3 + 0 16 + 17x = -3 Add '-16' to each side of the equation. 16 + -16 + 17x = -3 + -16 Combine like terms: 16 + -16 = 0 0 + 17x = -3 + -16 17x = -3 + -16 Combine like terms: -3 + -16 = -19 17x = -19 Divide each side by '17'. x = -1.117647059 Simplifying x = -1.117647059
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