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Simplifying x + 20 + -5x = 7(3 + x) + -3x Reorder the terms: 20 + x + -5x = 7(3 + x) + -3x Combine like terms: x + -5x = -4x 20 + -4x = 7(3 + x) + -3x 20 + -4x = (3 * 7 + x * 7) + -3x 20 + -4x = (21 + 7x) + -3x Combine like terms: 7x + -3x = 4x 20 + -4x = 21 + 4x Solving 20 + -4x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + -4x + -4x = 21 + 4x + -4x Combine like terms: -4x + -4x = -8x 20 + -8x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -8x = 21 + 0 20 + -8x = 21 Add '-20' to each side of the equation. 20 + -20 + -8x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 21 + -20 -8x = 21 + -20 Combine like terms: 21 + -20 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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