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Simplifying 7(x + 1) + -4(x + 3) = x + -19 Reorder the terms: 7(1 + x) + -4(x + 3) = x + -19 (1 * 7 + x * 7) + -4(x + 3) = x + -19 (7 + 7x) + -4(x + 3) = x + -19 Reorder the terms: 7 + 7x + -4(3 + x) = x + -19 7 + 7x + (3 * -4 + x * -4) = x + -19 7 + 7x + (-12 + -4x) = x + -19 Reorder the terms: 7 + -12 + 7x + -4x = x + -19 Combine like terms: 7 + -12 = -5 -5 + 7x + -4x = x + -19 Combine like terms: 7x + -4x = 3x -5 + 3x = x + -19 Reorder the terms: -5 + 3x = -19 + x Solving -5 + 3x = -19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 3x + -1x = -19 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = -19 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = -19 + 0 -5 + 2x = -19 Add '5' to each side of the equation. -5 + 5 + 2x = -19 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -19 + 5 2x = -19 + 5 Combine like terms: -19 + 5 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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