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Simplifying 8(3x + -2) = 7(x + 4) + 11 Reorder the terms: 8(-2 + 3x) = 7(x + 4) + 11 (-2 * 8 + 3x * 8) = 7(x + 4) + 11 (-16 + 24x) = 7(x + 4) + 11 Reorder the terms: -16 + 24x = 7(4 + x) + 11 -16 + 24x = (4 * 7 + x * 7) + 11 -16 + 24x = (28 + 7x) + 11 Reorder the terms: -16 + 24x = 28 + 11 + 7x Combine like terms: 28 + 11 = 39 -16 + 24x = 39 + 7x Solving -16 + 24x = 39 + 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 = 39 + 7x + -7x Combine like terms: 24x + -7x = 17x -16 + 17x = 39 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 17x = 39 + 0 -16 + 17x = 39 Add '16' to each side of the equation. -16 + 16 + 17x = 39 + 16 Combine like terms: -16 + 16 = 0 0 + 17x = 39 + 16 17x = 39 + 16 Combine like terms: 39 + 16 = 55 17x = 55 Divide each side by '17'. x = 3.235294118 Simplifying x = 3.235294118
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