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Simplifying 7(2x + 3) + -3(5x + -2) + -5(3x + -4) = 0 Reorder the terms: 7(3 + 2x) + -3(5x + -2) + -5(3x + -4) = 0 (3 * 7 + 2x * 7) + -3(5x + -2) + -5(3x + -4) = 0 (21 + 14x) + -3(5x + -2) + -5(3x + -4) = 0 Reorder the terms: 21 + 14x + -3(-2 + 5x) + -5(3x + -4) = 0 21 + 14x + (-2 * -3 + 5x * -3) + -5(3x + -4) = 0 21 + 14x + (6 + -15x) + -5(3x + -4) = 0 Reorder the terms: 21 + 14x + 6 + -15x + -5(-4 + 3x) = 0 21 + 14x + 6 + -15x + (-4 * -5 + 3x * -5) = 0 21 + 14x + 6 + -15x + (20 + -15x) = 0 Reorder the terms: 21 + 6 + 20 + 14x + -15x + -15x = 0 Combine like terms: 21 + 6 = 27 27 + 20 + 14x + -15x + -15x = 0 Combine like terms: 27 + 20 = 47 47 + 14x + -15x + -15x = 0 Combine like terms: 14x + -15x = -1x 47 + -1x + -15x = 0 Combine like terms: -1x + -15x = -16x 47 + -16x = 0 Solving 47 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -16x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -16x = 0 + -47 -16x = 0 + -47 Combine like terms: 0 + -47 = -47 -16x = -47 Divide each side by '-16'. x = 2.9375 Simplifying x = 2.9375
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