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Simplifying -3(x + -2) + 2x + 10 = x + 6 Reorder the terms: -3(-2 + x) + 2x + 10 = x + 6 (-2 * -3 + x * -3) + 2x + 10 = x + 6 (6 + -3x) + 2x + 10 = x + 6 Reorder the terms: 6 + 10 + -3x + 2x = x + 6 Combine like terms: 6 + 10 = 16 16 + -3x + 2x = x + 6 Combine like terms: -3x + 2x = -1x 16 + -1x = x + 6 Reorder the terms: 16 + -1x = 6 + x Solving 16 + -1x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + -1x + -1x = 6 + x + -1x Combine like terms: -1x + -1x = -2x 16 + -2x = 6 + x + -1x Combine like terms: x + -1x = 0 16 + -2x = 6 + 0 16 + -2x = 6 Add '-16' to each side of the equation. 16 + -16 + -2x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 6 + -16 -2x = 6 + -16 Combine like terms: 6 + -16 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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