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Simplifying 8(x + -3) + 5x = 15(x + -2) Reorder the terms: 8(-3 + x) + 5x = 15(x + -2) (-3 * 8 + x * 8) + 5x = 15(x + -2) (-24 + 8x) + 5x = 15(x + -2) Combine like terms: 8x + 5x = 13x -24 + 13x = 15(x + -2) Reorder the terms: -24 + 13x = 15(-2 + x) -24 + 13x = (-2 * 15 + x * 15) -24 + 13x = (-30 + 15x) Solving -24 + 13x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 13x + -15x = -30 + 15x + -15x Combine like terms: 13x + -15x = -2x -24 + -2x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -2x = -30 + 0 -24 + -2x = -30 Add '24' to each side of the equation. -24 + 24 + -2x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -30 + 24 -2x = -30 + 24 Combine like terms: -30 + 24 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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