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Simplifying 7(x + 20) + -10 = x + 4 Reorder the terms: 7(20 + x) + -10 = x + 4 (20 * 7 + x * 7) + -10 = x + 4 (140 + 7x) + -10 = x + 4 Reorder the terms: 140 + -10 + 7x = x + 4 Combine like terms: 140 + -10 = 130 130 + 7x = x + 4 Reorder the terms: 130 + 7x = 4 + x Solving 130 + 7x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 130 + 7x + -1x = 4 + x + -1x Combine like terms: 7x + -1x = 6x 130 + 6x = 4 + x + -1x Combine like terms: x + -1x = 0 130 + 6x = 4 + 0 130 + 6x = 4 Add '-130' to each side of the equation. 130 + -130 + 6x = 4 + -130 Combine like terms: 130 + -130 = 0 0 + 6x = 4 + -130 6x = 4 + -130 Combine like terms: 4 + -130 = -126 6x = -126 Divide each side by '6'. x = -21 Simplifying x = -21
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