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Simplifying 7(x + -7) + 19 = 4(x + -6) Reorder the terms: 7(-7 + x) + 19 = 4(x + -6) (-7 * 7 + x * 7) + 19 = 4(x + -6) (-49 + 7x) + 19 = 4(x + -6) Reorder the terms: -49 + 19 + 7x = 4(x + -6) Combine like terms: -49 + 19 = -30 -30 + 7x = 4(x + -6) Reorder the terms: -30 + 7x = 4(-6 + x) -30 + 7x = (-6 * 4 + x * 4) -30 + 7x = (-24 + 4x) Solving -30 + 7x = -24 + 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. -30 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -30 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 3x = -24 + 0 -30 + 3x = -24 Add '30' to each side of the equation. -30 + 30 + 3x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -24 + 30 3x = -24 + 30 Combine like terms: -24 + 30 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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