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Simplifying 7x + -3(x + 10) = 7(x + -4) Reorder the terms: 7x + -3(10 + x) = 7(x + -4) 7x + (10 * -3 + x * -3) = 7(x + -4) 7x + (-30 + -3x) = 7(x + -4) Reorder the terms: -30 + 7x + -3x = 7(x + -4) Combine like terms: 7x + -3x = 4x -30 + 4x = 7(x + -4) Reorder the terms: -30 + 4x = 7(-4 + x) -30 + 4x = (-4 * 7 + x * 7) -30 + 4x = (-28 + 7x) Solving -30 + 4x = -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. -30 + 4x + -7x = -28 + 7x + -7x Combine like terms: 4x + -7x = -3x -30 + -3x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + -3x = -28 + 0 -30 + -3x = -28 Add '30' to each side of the equation. -30 + 30 + -3x = -28 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = -28 + 30 -3x = -28 + 30 Combine like terms: -28 + 30 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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