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Simplifying 2x + -3(5x + -2) = 5(2x + -3) + -3 Reorder the terms: 2x + -3(-2 + 5x) = 5(2x + -3) + -3 2x + (-2 * -3 + 5x * -3) = 5(2x + -3) + -3 2x + (6 + -15x) = 5(2x + -3) + -3 Reorder the terms: 6 + 2x + -15x = 5(2x + -3) + -3 Combine like terms: 2x + -15x = -13x 6 + -13x = 5(2x + -3) + -3 Reorder the terms: 6 + -13x = 5(-3 + 2x) + -3 6 + -13x = (-3 * 5 + 2x * 5) + -3 6 + -13x = (-15 + 10x) + -3 Reorder the terms: 6 + -13x = -15 + -3 + 10x Combine like terms: -15 + -3 = -18 6 + -13x = -18 + 10x Solving 6 + -13x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -13x + -10x = -18 + 10x + -10x Combine like terms: -13x + -10x = -23x 6 + -23x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -23x = -18 + 0 6 + -23x = -18 Add '-6' to each side of the equation. 6 + -6 + -23x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -23x = -18 + -6 -23x = -18 + -6 Combine like terms: -18 + -6 = -24 -23x = -24 Divide each side by '-23'. x = 1.043478261 Simplifying x = 1.043478261
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