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Simplifying 7 + -4(x + -3) = 7(4 + -1x) Reorder the terms: 7 + -4(-3 + x) = 7(4 + -1x) 7 + (-3 * -4 + x * -4) = 7(4 + -1x) 7 + (12 + -4x) = 7(4 + -1x) Combine like terms: 7 + 12 = 19 19 + -4x = 7(4 + -1x) 19 + -4x = (4 * 7 + -1x * 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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