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Simplifying -4(x + 1) + -3x = -7(2x + -4) + 10 Reorder the terms: -4(1 + x) + -3x = -7(2x + -4) + 10 (1 * -4 + x * -4) + -3x = -7(2x + -4) + 10 (-4 + -4x) + -3x = -7(2x + -4) + 10 Combine like terms: -4x + -3x = -7x -4 + -7x = -7(2x + -4) + 10 Reorder the terms: -4 + -7x = -7(-4 + 2x) + 10 -4 + -7x = (-4 * -7 + 2x * -7) + 10 -4 + -7x = (28 + -14x) + 10 Reorder the terms: -4 + -7x = 28 + 10 + -14x Combine like terms: 28 + 10 = 38 -4 + -7x = 38 + -14x Solving -4 + -7x = 38 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -4 + -7x + 14x = 38 + -14x + 14x Combine like terms: -7x + 14x = 7x -4 + 7x = 38 + -14x + 14x Combine like terms: -14x + 14x = 0 -4 + 7x = 38 + 0 -4 + 7x = 38 Add '4' to each side of the equation. -4 + 4 + 7x = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 38 + 4 7x = 38 + 4 Combine like terms: 38 + 4 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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