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Simplifying 4(x + -7) = -5 + 3(x + -7) Reorder the terms: 4(-7 + x) = -5 + 3(x + -7) (-7 * 4 + x * 4) = -5 + 3(x + -7) (-28 + 4x) = -5 + 3(x + -7) Reorder the terms: -28 + 4x = -5 + 3(-7 + x) -28 + 4x = -5 + (-7 * 3 + x * 3) -28 + 4x = -5 + (-21 + 3x) Combine like terms: -5 + -21 = -26 -28 + 4x = -26 + 3x Solving -28 + 4x = -26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -28 + 4x + -3x = -26 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = -26 + 0 -28 + 1x = -26 Add '28' to each side of the equation. -28 + 28 + 1x = -26 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -26 + 28 1x = -26 + 28 Combine like terms: -26 + 28 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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