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Simplifying 6x + 10 = 2(x + -3) + -5(3x + -2) Reorder the terms: 10 + 6x = 2(x + -3) + -5(3x + -2) Reorder the terms: 10 + 6x = 2(-3 + x) + -5(3x + -2) 10 + 6x = (-3 * 2 + x * 2) + -5(3x + -2) 10 + 6x = (-6 + 2x) + -5(3x + -2) Reorder the terms: 10 + 6x = -6 + 2x + -5(-2 + 3x) 10 + 6x = -6 + 2x + (-2 * -5 + 3x * -5) 10 + 6x = -6 + 2x + (10 + -15x) Reorder the terms: 10 + 6x = -6 + 10 + 2x + -15x Combine like terms: -6 + 10 = 4 10 + 6x = 4 + 2x + -15x Combine like terms: 2x + -15x = -13x 10 + 6x = 4 + -13x Solving 10 + 6x = 4 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 10 + 6x + 13x = 4 + -13x + 13x Combine like terms: 6x + 13x = 19x 10 + 19x = 4 + -13x + 13x Combine like terms: -13x + 13x = 0 10 + 19x = 4 + 0 10 + 19x = 4 Add '-10' to each side of the equation. 10 + -10 + 19x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 19x = 4 + -10 19x = 4 + -10 Combine like terms: 4 + -10 = -6 19x = -6 Divide each side by '19'. x = -0.3157894737 Simplifying x = -0.3157894737
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