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Simplifying 4x + -10 = 6(x + 3) + -4(x + -3) Reorder the terms: -10 + 4x = 6(x + 3) + -4(x + -3) Reorder the terms: -10 + 4x = 6(3 + x) + -4(x + -3) -10 + 4x = (3 * 6 + x * 6) + -4(x + -3) -10 + 4x = (18 + 6x) + -4(x + -3) Reorder the terms: -10 + 4x = 18 + 6x + -4(-3 + x) -10 + 4x = 18 + 6x + (-3 * -4 + x * -4) -10 + 4x = 18 + 6x + (12 + -4x) Reorder the terms: -10 + 4x = 18 + 12 + 6x + -4x Combine like terms: 18 + 12 = 30 -10 + 4x = 30 + 6x + -4x Combine like terms: 6x + -4x = 2x -10 + 4x = 30 + 2x Solving -10 + 4x = 30 + 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. -10 + 4x + -2x = 30 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 30 + 0 -10 + 2x = 30 Add '10' to each side of the equation. -10 + 10 + 2x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 30 + 10 2x = 30 + 10 Combine like terms: 30 + 10 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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