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Simplifying 5x + -10 = 2 + -2x + 10(x + -3) Reorder the terms: -10 + 5x = 2 + -2x + 10(x + -3) Reorder the terms: -10 + 5x = 2 + -2x + 10(-3 + x) -10 + 5x = 2 + -2x + (-3 * 10 + x * 10) -10 + 5x = 2 + -2x + (-30 + 10x) Reorder the terms: -10 + 5x = 2 + -30 + -2x + 10x Combine like terms: 2 + -30 = -28 -10 + 5x = -28 + -2x + 10x Combine like terms: -2x + 10x = 8x -10 + 5x = -28 + 8x Solving -10 + 5x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 5x + -8x = -28 + 8x + -8x Combine like terms: 5x + -8x = -3x -10 + -3x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -3x = -28 + 0 -10 + -3x = -28 Add '10' to each side of the equation. -10 + 10 + -3x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -28 + 10 -3x = -28 + 10 Combine like terms: -28 + 10 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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