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Simplifying 7 + -1x = -6(3x + -4) Reorder the terms: 7 + -1x = -6(-4 + 3x) 7 + -1x = (-4 * -6 + 3x * -6) 7 + -1x = (24 + -18x) Solving 7 + -1x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 7 + -1x + 18x = 24 + -18x + 18x Combine like terms: -1x + 18x = 17x 7 + 17x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 7 + 17x = 24 + 0 7 + 17x = 24 Add '-7' to each side of the equation. 7 + -7 + 17x = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 24 + -7 17x = 24 + -7 Combine like terms: 24 + -7 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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