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Simplifying 3x + 18 = -8(-4x + 5) Reorder the terms: 18 + 3x = -8(-4x + 5) Reorder the terms: 18 + 3x = -8(5 + -4x) 18 + 3x = (5 * -8 + -4x * -8) 18 + 3x = (-40 + 32x) Solving 18 + 3x = -40 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 18 + 3x + -32x = -40 + 32x + -32x Combine like terms: 3x + -32x = -29x 18 + -29x = -40 + 32x + -32x Combine like terms: 32x + -32x = 0 18 + -29x = -40 + 0 18 + -29x = -40 Add '-18' to each side of the equation. 18 + -18 + -29x = -40 + -18 Combine like terms: 18 + -18 = 0 0 + -29x = -40 + -18 -29x = -40 + -18 Combine like terms: -40 + -18 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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