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