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Simplifying 4(-6x + 7) = -4 + -1(-7x + 3) Reorder the terms: 4(7 + -6x) = -4 + -1(-7x + 3) (7 * 4 + -6x * 4) = -4 + -1(-7x + 3) (28 + -24x) = -4 + -1(-7x + 3) Reorder the terms: 28 + -24x = -4 + -1(3 + -7x) 28 + -24x = -4 + (3 * -1 + -7x * -1) 28 + -24x = -4 + (-3 + 7x) Combine like terms: -4 + -3 = -7 28 + -24x = -7 + 7x Solving 28 + -24x = -7 + 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. 28 + -24x + -7x = -7 + 7x + -7x Combine like terms: -24x + -7x = -31x 28 + -31x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + -31x = -7 + 0 28 + -31x = -7 Add '-28' to each side of the equation. 28 + -28 + -31x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -31x = -7 + -28 -31x = -7 + -28 Combine like terms: -7 + -28 = -35 -31x = -35 Divide each side by '-31'. x = 1.129032258 Simplifying x = 1.129032258
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