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Simplifying 5(3x + 1) = 7(x + -2) + -9(5 + -1x) Reorder the terms: 5(1 + 3x) = 7(x + -2) + -9(5 + -1x) (1 * 5 + 3x * 5) = 7(x + -2) + -9(5 + -1x) (5 + 15x) = 7(x + -2) + -9(5 + -1x) Reorder the terms: 5 + 15x = 7(-2 + x) + -9(5 + -1x) 5 + 15x = (-2 * 7 + x * 7) + -9(5 + -1x) 5 + 15x = (-14 + 7x) + -9(5 + -1x) 5 + 15x = -14 + 7x + (5 * -9 + -1x * -9) 5 + 15x = -14 + 7x + (-45 + 9x) Reorder the terms: 5 + 15x = -14 + -45 + 7x + 9x Combine like terms: -14 + -45 = -59 5 + 15x = -59 + 7x + 9x Combine like terms: 7x + 9x = 16x 5 + 15x = -59 + 16x Solving 5 + 15x = -59 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 5 + 15x + -16x = -59 + 16x + -16x Combine like terms: 15x + -16x = -1x 5 + -1x = -59 + 16x + -16x Combine like terms: 16x + -16x = 0 5 + -1x = -59 + 0 5 + -1x = -59 Add '-5' to each side of the equation. 5 + -5 + -1x = -59 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -59 + -5 -1x = -59 + -5 Combine like terms: -59 + -5 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64
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