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Simplifying 2(2x + -3) = 7(x + 4) + 10 Reorder the terms: 2(-3 + 2x) = 7(x + 4) + 10 (-3 * 2 + 2x * 2) = 7(x + 4) + 10 (-6 + 4x) = 7(x + 4) + 10 Reorder the terms: -6 + 4x = 7(4 + x) + 10 -6 + 4x = (4 * 7 + x * 7) + 10 -6 + 4x = (28 + 7x) + 10 Reorder the terms: -6 + 4x = 28 + 10 + 7x Combine like terms: 28 + 10 = 38 -6 + 4x = 38 + 7x Solving -6 + 4x = 38 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 4x + -7x = 38 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = 38 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = 38 + 0 -6 + -3x = 38 Add '6' to each side of the equation. -6 + 6 + -3x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 38 + 6 -3x = 38 + 6 Combine like terms: 38 + 6 = 44 -3x = 44 Divide each side by '-3'. x = -14.66666667 Simplifying x = -14.66666667
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