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Simplifying -2(5x + -2) + 6 = -2(3x + 1) + 16 Reorder the terms: -2(-2 + 5x) + 6 = -2(3x + 1) + 16 (-2 * -2 + 5x * -2) + 6 = -2(3x + 1) + 16 (4 + -10x) + 6 = -2(3x + 1) + 16 Reorder the terms: 4 + 6 + -10x = -2(3x + 1) + 16 Combine like terms: 4 + 6 = 10 10 + -10x = -2(3x + 1) + 16 Reorder the terms: 10 + -10x = -2(1 + 3x) + 16 10 + -10x = (1 * -2 + 3x * -2) + 16 10 + -10x = (-2 + -6x) + 16 Reorder the terms: 10 + -10x = -2 + 16 + -6x Combine like terms: -2 + 16 = 14 10 + -10x = 14 + -6x Solving 10 + -10x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -10x + 6x = 14 + -6x + 6x Combine like terms: -10x + 6x = -4x 10 + -4x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + -4x = 14 + 0 10 + -4x = 14 Add '-10' to each side of the equation. 10 + -10 + -4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 14 + -10 -4x = 14 + -10 Combine like terms: 14 + -10 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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