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Simplifying -4x + 19 = -7(x + -4) Reorder the terms: 19 + -4x = -7(x + -4) Reorder the terms: 19 + -4x = -7(-4 + x) 19 + -4x = (-4 * -7 + x * -7) 19 + -4x = (28 + -7x) Solving 19 + -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. 19 + -4x + 7x = 28 + -7x + 7x Combine like terms: -4x + 7x = 3x 19 + 3x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 3x = 28 + 0 19 + 3x = 28 Add '-19' to each side of the equation. 19 + -19 + 3x = 28 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 28 + -19 3x = 28 + -19 Combine like terms: 28 + -19 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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