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Simplifying 7x + -2(4 + -3x) = 8 + 4(x + -3) 7x + (4 * -2 + -3x * -2) = 8 + 4(x + -3) 7x + (-8 + 6x) = 8 + 4(x + -3) Reorder the terms: -8 + 7x + 6x = 8 + 4(x + -3) Combine like terms: 7x + 6x = 13x -8 + 13x = 8 + 4(x + -3) Reorder the terms: -8 + 13x = 8 + 4(-3 + x) -8 + 13x = 8 + (-3 * 4 + x * 4) -8 + 13x = 8 + (-12 + 4x) Combine like terms: 8 + -12 = -4 -8 + 13x = -4 + 4x Solving -8 + 13x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 13x + -4x = -4 + 4x + -4x Combine like terms: 13x + -4x = 9x -8 + 9x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 9x = -4 + 0 -8 + 9x = -4 Add '8' to each side of the equation. -8 + 8 + 9x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -4 + 8 9x = -4 + 8 Combine like terms: -4 + 8 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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