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Simplifying 5(3x + -1) + -2(x + 3) = 8(x + 1) Reorder the terms: 5(-1 + 3x) + -2(x + 3) = 8(x + 1) (-1 * 5 + 3x * 5) + -2(x + 3) = 8(x + 1) (-5 + 15x) + -2(x + 3) = 8(x + 1) Reorder the terms: -5 + 15x + -2(3 + x) = 8(x + 1) -5 + 15x + (3 * -2 + x * -2) = 8(x + 1) -5 + 15x + (-6 + -2x) = 8(x + 1) Reorder the terms: -5 + -6 + 15x + -2x = 8(x + 1) Combine like terms: -5 + -6 = -11 -11 + 15x + -2x = 8(x + 1) Combine like terms: 15x + -2x = 13x -11 + 13x = 8(x + 1) Reorder the terms: -11 + 13x = 8(1 + x) -11 + 13x = (1 * 8 + x * 8) -11 + 13x = (8 + 8x) Solving -11 + 13x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + 13x + -8x = 8 + 8x + -8x Combine like terms: 13x + -8x = 5x -11 + 5x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + 5x = 8 + 0 -11 + 5x = 8 Add '11' to each side of the equation. -11 + 11 + 5x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 8 + 11 5x = 8 + 11 Combine like terms: 8 + 11 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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