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Simplifying 4(x + -7) = 3(x + -7) Reorder the terms: 4(-7 + x) = 3(x + -7) (-7 * 4 + x * 4) = 3(x + -7) (-28 + 4x) = 3(x + -7) Reorder the terms: -28 + 4x = 3(-7 + x) -28 + 4x = (-7 * 3 + x * 3) -28 + 4x = (-21 + 3x) Solving -28 + 4x = -21 + 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 = -21 + 3x + -3x Combine like terms: 4x + -3x = 1x -28 + 1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 1x = -21 + 0 -28 + 1x = -21 Add '28' to each side of the equation. -28 + 28 + 1x = -21 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -21 + 28 1x = -21 + 28 Combine like terms: -21 + 28 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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