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Simplifying 10x + -15 = 3x + -2(2x + 1) Reorder the terms: -15 + 10x = 3x + -2(2x + 1) Reorder the terms: -15 + 10x = 3x + -2(1 + 2x) -15 + 10x = 3x + (1 * -2 + 2x * -2) -15 + 10x = 3x + (-2 + -4x) Reorder the terms: -15 + 10x = -2 + 3x + -4x Combine like terms: 3x + -4x = -1x -15 + 10x = -2 + -1x Solving -15 + 10x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 10x + x = -2 + -1x + x Combine like terms: 10x + x = 11x -15 + 11x = -2 + -1x + x Combine like terms: -1x + x = 0 -15 + 11x = -2 + 0 -15 + 11x = -2 Add '15' to each side of the equation. -15 + 15 + 11x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -2 + 15 11x = -2 + 15 Combine like terms: -2 + 15 = 13 11x = 13 Divide each side by '11'. x = 1.181818182 Simplifying x = 1.181818182
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