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Simplifying 4x + -7 = 3(x + -9) + 7 Reorder the terms: -7 + 4x = 3(x + -9) + 7 Reorder the terms: -7 + 4x = 3(-9 + x) + 7 -7 + 4x = (-9 * 3 + x * 3) + 7 -7 + 4x = (-27 + 3x) + 7 Reorder the terms: -7 + 4x = -27 + 7 + 3x Combine like terms: -27 + 7 = -20 -7 + 4x = -20 + 3x Solving -7 + 4x = -20 + 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. -7 + 4x + -3x = -20 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = -20 + 0 -7 + 1x = -20 Add '7' to each side of the equation. -7 + 7 + 1x = -20 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -20 + 7 1x = -20 + 7 Combine like terms: -20 + 7 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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