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Simplifying 75 = -7x + 6(-4x + -3) Reorder the terms: 75 = -7x + 6(-3 + -4x) 75 = -7x + (-3 * 6 + -4x * 6) 75 = -7x + (-18 + -24x) Reorder the terms: 75 = -18 + -7x + -24x Combine like terms: -7x + -24x = -31x 75 = -18 + -31x Solving 75 = -18 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 75 + 31x = -18 + -31x + 31x Combine like terms: -31x + 31x = 0 75 + 31x = -18 + 0 75 + 31x = -18 Add '-75' to each side of the equation. 75 + -75 + 31x = -18 + -75 Combine like terms: 75 + -75 = 0 0 + 31x = -18 + -75 31x = -18 + -75 Combine like terms: -18 + -75 = -93 31x = -93 Divide each side by '31'. x = -3 Simplifying x = -3
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