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Simplifying 11(2x + -3) + -6(3x + -8) = 2(4x + 15) + 17 Reorder the terms: 11(-3 + 2x) + -6(3x + -8) = 2(4x + 15) + 17 (-3 * 11 + 2x * 11) + -6(3x + -8) = 2(4x + 15) + 17 (-33 + 22x) + -6(3x + -8) = 2(4x + 15) + 17 Reorder the terms: -33 + 22x + -6(-8 + 3x) = 2(4x + 15) + 17 -33 + 22x + (-8 * -6 + 3x * -6) = 2(4x + 15) + 17 -33 + 22x + (48 + -18x) = 2(4x + 15) + 17 Reorder the terms: -33 + 48 + 22x + -18x = 2(4x + 15) + 17 Combine like terms: -33 + 48 = 15 15 + 22x + -18x = 2(4x + 15) + 17 Combine like terms: 22x + -18x = 4x 15 + 4x = 2(4x + 15) + 17 Reorder the terms: 15 + 4x = 2(15 + 4x) + 17 15 + 4x = (15 * 2 + 4x * 2) + 17 15 + 4x = (30 + 8x) + 17 Reorder the terms: 15 + 4x = 30 + 17 + 8x Combine like terms: 30 + 17 = 47 15 + 4x = 47 + 8x Solving 15 + 4x = 47 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 4x + -8x = 47 + 8x + -8x Combine like terms: 4x + -8x = -4x 15 + -4x = 47 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -4x = 47 + 0 15 + -4x = 47 Add '-15' to each side of the equation. 15 + -15 + -4x = 47 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 47 + -15 -4x = 47 + -15 Combine like terms: 47 + -15 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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