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Simplifying 5 + -2(3x + -4) = 38 + -2x Reorder the terms: 5 + -2(-4 + 3x) = 38 + -2x 5 + (-4 * -2 + 3x * -2) = 38 + -2x 5 + (8 + -6x) = 38 + -2x Combine like terms: 5 + 8 = 13 13 + -6x = 38 + -2x Solving 13 + -6x = 38 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + -6x + 2x = 38 + -2x + 2x Combine like terms: -6x + 2x = -4x 13 + -4x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -4x = 38 + 0 13 + -4x = 38 Add '-13' to each side of the equation. 13 + -13 + -4x = 38 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 38 + -13 -4x = 38 + -13 Combine like terms: 38 + -13 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25
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