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Simplifying -3x + -2(2x + 4) + 13 = -1x + 47 Reorder the terms: -3x + -2(4 + 2x) + 13 = -1x + 47 -3x + (4 * -2 + 2x * -2) + 13 = -1x + 47 -3x + (-8 + -4x) + 13 = -1x + 47 Reorder the terms: -8 + 13 + -3x + -4x = -1x + 47 Combine like terms: -8 + 13 = 5 5 + -3x + -4x = -1x + 47 Combine like terms: -3x + -4x = -7x 5 + -7x = -1x + 47 Reorder the terms: 5 + -7x = 47 + -1x Solving 5 + -7x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + -7x + x = 47 + -1x + x Combine like terms: -7x + x = -6x 5 + -6x = 47 + -1x + x Combine like terms: -1x + x = 0 5 + -6x = 47 + 0 5 + -6x = 47 Add '-5' to each side of the equation. 5 + -5 + -6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 47 + -5 -6x = 47 + -5 Combine like terms: 47 + -5 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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