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Simplifying 3x + -7 = 4(x + 7) Reorder the terms: -7 + 3x = 4(x + 7) Reorder the terms: -7 + 3x = 4(7 + x) -7 + 3x = (7 * 4 + x * 4) -7 + 3x = (28 + 4x) Solving -7 + 3x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 3x + -4x = 28 + 4x + -4x Combine like terms: 3x + -4x = -1x -7 + -1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -1x = 28 + 0 -7 + -1x = 28 Add '7' to each side of the equation. -7 + 7 + -1x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 28 + 7 -1x = 28 + 7 Combine like terms: 28 + 7 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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