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Simplifying 6x + 3 = -1(x + -38) Reorder the terms: 3 + 6x = -1(x + -38) Reorder the terms: 3 + 6x = -1(-38 + x) 3 + 6x = (-38 * -1 + x * -1) 3 + 6x = (38 + -1x) Solving 3 + 6x = 38 + -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. 3 + 6x + x = 38 + -1x + x Combine like terms: 6x + x = 7x 3 + 7x = 38 + -1x + x Combine like terms: -1x + x = 0 3 + 7x = 38 + 0 3 + 7x = 38 Add '-3' to each side of the equation. 3 + -3 + 7x = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 38 + -3 7x = 38 + -3 Combine like terms: 38 + -3 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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