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Simplifying 4x + -19 = -3(x + 4) Reorder the terms: -19 + 4x = -3(x + 4) Reorder the terms: -19 + 4x = -3(4 + x) -19 + 4x = (4 * -3 + x * -3) -19 + 4x = (-12 + -3x) Solving -19 + 4x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -19 + 4x + 3x = -12 + -3x + 3x Combine like terms: 4x + 3x = 7x -19 + 7x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -19 + 7x = -12 + 0 -19 + 7x = -12 Add '19' to each side of the equation. -19 + 19 + 7x = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = -12 + 19 7x = -12 + 19 Combine like terms: -12 + 19 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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