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Simplifying 12x + -15x + 5(10) = 5x + 8x + 2(100) Multiply 5 * 10 12x + -15x + 50 = 5x + 8x + 2(100) Reorder the terms: 50 + 12x + -15x = 5x + 8x + 2(100) Combine like terms: 12x + -15x = -3x 50 + -3x = 5x + 8x + 2(100) Multiply 2 * 100 50 + -3x = 5x + 8x + 200 Reorder the terms: 50 + -3x = 200 + 5x + 8x Combine like terms: 5x + 8x = 13x 50 + -3x = 200 + 13x Solving 50 + -3x = 200 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 50 + -3x + -13x = 200 + 13x + -13x Combine like terms: -3x + -13x = -16x 50 + -16x = 200 + 13x + -13x Combine like terms: 13x + -13x = 0 50 + -16x = 200 + 0 50 + -16x = 200 Add '-50' to each side of the equation. 50 + -50 + -16x = 200 + -50 Combine like terms: 50 + -50 = 0 0 + -16x = 200 + -50 -16x = 200 + -50 Combine like terms: 200 + -50 = 150 -16x = 150 Divide each side by '-16'. x = -9.375 Simplifying x = -9.375
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