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Simplifying 1(x + -2) + 4x = 10(x + 3) Reorder the terms: 1(-2 + x) + 4x = 10(x + 3) (-2 * 1 + x * 1) + 4x = 10(x + 3) (-2 + 1x) + 4x = 10(x + 3) Combine like terms: 1x + 4x = 5x -2 + 5x = 10(x + 3) Reorder the terms: -2 + 5x = 10(3 + x) -2 + 5x = (3 * 10 + x * 10) -2 + 5x = (30 + 10x) Solving -2 + 5x = 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 + 5x + -10x = 30 + 10x + -10x Combine like terms: 5x + -10x = -5x -2 + -5x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -5x = 30 + 0 -2 + -5x = 30 Add '2' to each side of the equation. -2 + 2 + -5x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 30 + 2 -5x = 30 + 2 Combine like terms: 30 + 2 = 32 -5x = 32 Divide each side by '-5'. x = -6.4 Simplifying x = -6.4
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