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Simplifying 2(x + -1) + 4x = 10(x + 3) Reorder the terms: 2(-1 + x) + 4x = 10(x + 3) (-1 * 2 + x * 2) + 4x = 10(x + 3) (-2 + 2x) + 4x = 10(x + 3) Combine like terms: 2x + 4x = 6x -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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