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Simplifying 5(x + -10) + x = 6(x + 3) + -4x Reorder the terms: 5(-10 + x) + x = 6(x + 3) + -4x (-10 * 5 + x * 5) + x = 6(x + 3) + -4x (-50 + 5x) + x = 6(x + 3) + -4x Combine like terms: 5x + x = 6x -50 + 6x = 6(x + 3) + -4x Reorder the terms: -50 + 6x = 6(3 + x) + -4x -50 + 6x = (3 * 6 + x * 6) + -4x -50 + 6x = (18 + 6x) + -4x Combine like terms: 6x + -4x = 2x -50 + 6x = 18 + 2x Solving -50 + 6x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x -50 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 4x = 18 + 0 -50 + 4x = 18 Add '50' to each side of the equation. -50 + 50 + 4x = 18 + 50 Combine like terms: -50 + 50 = 0 0 + 4x = 18 + 50 4x = 18 + 50 Combine like terms: 18 + 50 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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