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Simplifying 4x + -1(3 + -1x) = 7(x + -3) + 10 4x + (3 * -1 + -1x * -1) = 7(x + -3) + 10 4x + (-3 + 1x) = 7(x + -3) + 10 Reorder the terms: -3 + 4x + 1x = 7(x + -3) + 10 Combine like terms: 4x + 1x = 5x -3 + 5x = 7(x + -3) + 10 Reorder the terms: -3 + 5x = 7(-3 + x) + 10 -3 + 5x = (-3 * 7 + x * 7) + 10 -3 + 5x = (-21 + 7x) + 10 Reorder the terms: -3 + 5x = -21 + 10 + 7x Combine like terms: -21 + 10 = -11 -3 + 5x = -11 + 7x Solving -3 + 5x = -11 + 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. -3 + 5x + -7x = -11 + 7x + -7x Combine like terms: 5x + -7x = -2x -3 + -2x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -2x = -11 + 0 -3 + -2x = -11 Add '3' to each side of the equation. -3 + 3 + -2x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -11 + 3 -2x = -11 + 3 Combine like terms: -11 + 3 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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