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Simplifying 2x + -3 * 10 + -1x + 1 * 3 = 3x + -1 * 5 Multiply -3 * 10 2x + -30 + -1x + 1 * 3 = 3x + -1 * 5 Multiply 1 * 3 2x + -30 + -1x + 3 = 3x + -1 * 5 Reorder the terms: -30 + 3 + 2x + -1x = 3x + -1 * 5 Combine like terms: -30 + 3 = -27 -27 + 2x + -1x = 3x + -1 * 5 Combine like terms: 2x + -1x = 1x -27 + 1x = 3x + -1 * 5 Multiply -1 * 5 -27 + 1x = 3x + -5 Reorder the terms: -27 + 1x = -5 + 3x Solving -27 + 1x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 1x + -3x = -5 + 3x + -3x Combine like terms: 1x + -3x = -2x -27 + -2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -2x = -5 + 0 -27 + -2x = -5 Add '27' to each side of the equation. -27 + 27 + -2x = -5 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -5 + 27 -2x = -5 + 27 Combine like terms: -5 + 27 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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