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Simplifying 4 + -4(x + 3) = 7x + -19 Reorder the terms: 4 + -4(3 + x) = 7x + -19 4 + (3 * -4 + x * -4) = 7x + -19 4 + (-12 + -4x) = 7x + -19 Combine like terms: 4 + -12 = -8 -8 + -4x = 7x + -19 Reorder the terms: -8 + -4x = -19 + 7x Solving -8 + -4x = -19 + 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. -8 + -4x + -7x = -19 + 7x + -7x Combine like terms: -4x + -7x = -11x -8 + -11x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -11x = -19 + 0 -8 + -11x = -19 Add '8' to each side of the equation. -8 + 8 + -11x = -19 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = -19 + 8 -11x = -19 + 8 Combine like terms: -19 + 8 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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