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Simplifying 2x + -4(x + -4) = -7 + 3x + 13 Reorder the terms: 2x + -4(-4 + x) = -7 + 3x + 13 2x + (-4 * -4 + x * -4) = -7 + 3x + 13 2x + (16 + -4x) = -7 + 3x + 13 Reorder the terms: 16 + 2x + -4x = -7 + 3x + 13 Combine like terms: 2x + -4x = -2x 16 + -2x = -7 + 3x + 13 Reorder the terms: 16 + -2x = -7 + 13 + 3x Combine like terms: -7 + 13 = 6 16 + -2x = 6 + 3x Solving 16 + -2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -2x + -3x = 6 + 3x + -3x Combine like terms: -2x + -3x = -5x 16 + -5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -5x = 6 + 0 16 + -5x = 6 Add '-16' to each side of the equation. 16 + -16 + -5x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 6 + -16 -5x = 6 + -16 Combine like terms: 6 + -16 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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