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Simplifying 7(x + -5) + 7 = 4(x + -4) Reorder the terms: 7(-5 + x) + 7 = 4(x + -4) (-5 * 7 + x * 7) + 7 = 4(x + -4) (-35 + 7x) + 7 = 4(x + -4) Reorder the terms: -35 + 7 + 7x = 4(x + -4) Combine like terms: -35 + 7 = -28 -28 + 7x = 4(x + -4) Reorder the terms: -28 + 7x = 4(-4 + x) -28 + 7x = (-4 * 4 + x * 4) -28 + 7x = (-16 + 4x) Solving -28 + 7x = -16 + 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. -28 + 7x + -4x = -16 + 4x + -4x Combine like terms: 7x + -4x = 3x -28 + 3x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 3x = -16 + 0 -28 + 3x = -16 Add '28' to each side of the equation. -28 + 28 + 3x = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -16 + 28 3x = -16 + 28 Combine like terms: -16 + 28 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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