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Simplifying 5(7x + 8) + 6x = 4(2x + -12) + -9x Reorder the terms: 5(8 + 7x) + 6x = 4(2x + -12) + -9x (8 * 5 + 7x * 5) + 6x = 4(2x + -12) + -9x (40 + 35x) + 6x = 4(2x + -12) + -9x Combine like terms: 35x + 6x = 41x 40 + 41x = 4(2x + -12) + -9x Reorder the terms: 40 + 41x = 4(-12 + 2x) + -9x 40 + 41x = (-12 * 4 + 2x * 4) + -9x 40 + 41x = (-48 + 8x) + -9x Combine like terms: 8x + -9x = -1x 40 + 41x = -48 + -1x Solving 40 + 41x = -48 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 41x + x = -48 + -1x + x Combine like terms: 41x + x = 42x 40 + 42x = -48 + -1x + x Combine like terms: -1x + x = 0 40 + 42x = -48 + 0 40 + 42x = -48 Add '-40' to each side of the equation. 40 + -40 + 42x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + 42x = -48 + -40 42x = -48 + -40 Combine like terms: -48 + -40 = -88 42x = -88 Divide each side by '42'. x = -2.095238095 Simplifying x = -2.095238095
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