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Simplifying 5(x + 3) + -3x = 15x + 10 Reorder the terms: 5(3 + x) + -3x = 15x + 10 (3 * 5 + x * 5) + -3x = 15x + 10 (15 + 5x) + -3x = 15x + 10 Combine like terms: 5x + -3x = 2x 15 + 2x = 15x + 10 Reorder the terms: 15 + 2x = 10 + 15x Solving 15 + 2x = 10 + 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. 15 + 2x + -15x = 10 + 15x + -15x Combine like terms: 2x + -15x = -13x 15 + -13x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -13x = 10 + 0 15 + -13x = 10 Add '-15' to each side of the equation. 15 + -15 + -13x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = 10 + -15 -13x = 10 + -15 Combine like terms: 10 + -15 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846
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