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Simplifying 4x + -2(3x + 5) = 7(x + -4) Reorder the terms: 4x + -2(5 + 3x) = 7(x + -4) 4x + (5 * -2 + 3x * -2) = 7(x + -4) 4x + (-10 + -6x) = 7(x + -4) Reorder the terms: -10 + 4x + -6x = 7(x + -4) Combine like terms: 4x + -6x = -2x -10 + -2x = 7(x + -4) Reorder the terms: -10 + -2x = 7(-4 + x) -10 + -2x = (-4 * 7 + x * 7) -10 + -2x = (-28 + 7x) Solving -10 + -2x = -28 + 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. -10 + -2x + -7x = -28 + 7x + -7x Combine like terms: -2x + -7x = -9x -10 + -9x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -9x = -28 + 0 -10 + -9x = -28 Add '10' to each side of the equation. -10 + 10 + -9x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -28 + 10 -9x = -28 + 10 Combine like terms: -28 + 10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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