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Simplifying 3 + -2(x + 5) = 4(x + -7) + -3 Reorder the terms: 3 + -2(5 + x) = 4(x + -7) + -3 3 + (5 * -2 + x * -2) = 4(x + -7) + -3 3 + (-10 + -2x) = 4(x + -7) + -3 Combine like terms: 3 + -10 = -7 -7 + -2x = 4(x + -7) + -3 Reorder the terms: -7 + -2x = 4(-7 + x) + -3 -7 + -2x = (-7 * 4 + x * 4) + -3 -7 + -2x = (-28 + 4x) + -3 Reorder the terms: -7 + -2x = -28 + -3 + 4x Combine like terms: -28 + -3 = -31 -7 + -2x = -31 + 4x Solving -7 + -2x = -31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -2x + -4x = -31 + 4x + -4x Combine like terms: -2x + -4x = -6x -7 + -6x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -6x = -31 + 0 -7 + -6x = -31 Add '7' to each side of the equation. -7 + 7 + -6x = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -31 + 7 -6x = -31 + 7 Combine like terms: -31 + 7 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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