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Simplifying 2x + -4(x + -4) = -6 + 5x + -13 Reorder the terms: 2x + -4(-4 + x) = -6 + 5x + -13 2x + (-4 * -4 + x * -4) = -6 + 5x + -13 2x + (16 + -4x) = -6 + 5x + -13 Reorder the terms: 16 + 2x + -4x = -6 + 5x + -13 Combine like terms: 2x + -4x = -2x 16 + -2x = -6 + 5x + -13 Reorder the terms: 16 + -2x = -6 + -13 + 5x Combine like terms: -6 + -13 = -19 16 + -2x = -19 + 5x Solving 16 + -2x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + -2x + -5x = -19 + 5x + -5x Combine like terms: -2x + -5x = -7x 16 + -7x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -7x = -19 + 0 16 + -7x = -19 Add '-16' to each side of the equation. 16 + -16 + -7x = -19 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = -19 + -16 -7x = -19 + -16 Combine like terms: -19 + -16 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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