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Simplifying 4(x + -1) + 3(3x + -1) = 28 + -3(x + 1) Reorder the terms: 4(-1 + x) + 3(3x + -1) = 28 + -3(x + 1) (-1 * 4 + x * 4) + 3(3x + -1) = 28 + -3(x + 1) (-4 + 4x) + 3(3x + -1) = 28 + -3(x + 1) Reorder the terms: -4 + 4x + 3(-1 + 3x) = 28 + -3(x + 1) -4 + 4x + (-1 * 3 + 3x * 3) = 28 + -3(x + 1) -4 + 4x + (-3 + 9x) = 28 + -3(x + 1) Reorder the terms: -4 + -3 + 4x + 9x = 28 + -3(x + 1) Combine like terms: -4 + -3 = -7 -7 + 4x + 9x = 28 + -3(x + 1) Combine like terms: 4x + 9x = 13x -7 + 13x = 28 + -3(x + 1) Reorder the terms: -7 + 13x = 28 + -3(1 + x) -7 + 13x = 28 + (1 * -3 + x * -3) -7 + 13x = 28 + (-3 + -3x) Combine like terms: 28 + -3 = 25 -7 + 13x = 25 + -3x Solving -7 + 13x = 25 + -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. -7 + 13x + 3x = 25 + -3x + 3x Combine like terms: 13x + 3x = 16x -7 + 16x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 16x = 25 + 0 -7 + 16x = 25 Add '7' to each side of the equation. -7 + 7 + 16x = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 25 + 7 16x = 25 + 7 Combine like terms: 25 + 7 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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