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Simplifying 30 + -10x = -7(6 + -1x) 30 + -10x = (6 * -7 + -1x * -7) 30 + -10x = (-42 + 7x) Solving 30 + -10x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 30 + -10x + -7x = -42 + 7x + -7x Combine like terms: -10x + -7x = -17x 30 + -17x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -17x = -42 + 0 30 + -17x = -42 Add '-30' to each side of the equation. 30 + -30 + -17x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -17x = -42 + -30 -17x = -42 + -30 Combine like terms: -42 + -30 = -72 -17x = -72 Divide each side by '-17'. x = 4.235294118 Simplifying x = 4.235294118
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