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Simplifying 2(3x + 1) = 10(x + -3) Reorder the terms: 2(1 + 3x) = 10(x + -3) (1 * 2 + 3x * 2) = 10(x + -3) (2 + 6x) = 10(x + -3) Reorder the terms: 2 + 6x = 10(-3 + x) 2 + 6x = (-3 * 10 + x * 10) 2 + 6x = (-30 + 10x) Solving 2 + 6x = -30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 6x + -10x = -30 + 10x + -10x Combine like terms: 6x + -10x = -4x 2 + -4x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -4x = -30 + 0 2 + -4x = -30 Add '-2' to each side of the equation. 2 + -2 + -4x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -30 + -2 -4x = -30 + -2 Combine like terms: -30 + -2 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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