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Simplifying 4x + -19 = 7(x + -7) Reorder the terms: -19 + 4x = 7(x + -7) Reorder the terms: -19 + 4x = 7(-7 + x) -19 + 4x = (-7 * 7 + x * 7) -19 + 4x = (-49 + 7x) Solving -19 + 4x = -49 + 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. -19 + 4x + -7x = -49 + 7x + -7x Combine like terms: 4x + -7x = -3x -19 + -3x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -19 + -3x = -49 + 0 -19 + -3x = -49 Add '19' to each side of the equation. -19 + 19 + -3x = -49 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = -49 + 19 -3x = -49 + 19 Combine like terms: -49 + 19 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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