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Simplifying 5 + 4(x + -3) = 7 + -9(x + -8) Reorder the terms: 5 + 4(-3 + x) = 7 + -9(x + -8) 5 + (-3 * 4 + x * 4) = 7 + -9(x + -8) 5 + (-12 + 4x) = 7 + -9(x + -8) Combine like terms: 5 + -12 = -7 -7 + 4x = 7 + -9(x + -8) Reorder the terms: -7 + 4x = 7 + -9(-8 + x) -7 + 4x = 7 + (-8 * -9 + x * -9) -7 + 4x = 7 + (72 + -9x) Combine like terms: 7 + 72 = 79 -7 + 4x = 79 + -9x Solving -7 + 4x = 79 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + 4x + 9x = 79 + -9x + 9x Combine like terms: 4x + 9x = 13x -7 + 13x = 79 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + 13x = 79 + 0 -7 + 13x = 79 Add '7' to each side of the equation. -7 + 7 + 13x = 79 + 7 Combine like terms: -7 + 7 = 0 0 + 13x = 79 + 7 13x = 79 + 7 Combine like terms: 79 + 7 = 86 13x = 86 Divide each side by '13'. x = 6.615384615 Simplifying x = 6.615384615
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