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Simplifying 5(3x + -11) = 8(3x + -8) Reorder the terms: 5(-11 + 3x) = 8(3x + -8) (-11 * 5 + 3x * 5) = 8(3x + -8) (-55 + 15x) = 8(3x + -8) Reorder the terms: -55 + 15x = 8(-8 + 3x) -55 + 15x = (-8 * 8 + 3x * 8) -55 + 15x = (-64 + 24x) Solving -55 + 15x = -64 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -55 + 15x + -24x = -64 + 24x + -24x Combine like terms: 15x + -24x = -9x -55 + -9x = -64 + 24x + -24x Combine like terms: 24x + -24x = 0 -55 + -9x = -64 + 0 -55 + -9x = -64 Add '55' to each side of the equation. -55 + 55 + -9x = -64 + 55 Combine like terms: -55 + 55 = 0 0 + -9x = -64 + 55 -9x = -64 + 55 Combine like terms: -64 + 55 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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