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Simplifying 3x + 7 = 9(x + 5) + 10x Reorder the terms: 7 + 3x = 9(x + 5) + 10x Reorder the terms: 7 + 3x = 9(5 + x) + 10x 7 + 3x = (5 * 9 + x * 9) + 10x 7 + 3x = (45 + 9x) + 10x Combine like terms: 9x + 10x = 19x 7 + 3x = 45 + 19x Solving 7 + 3x = 45 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 7 + 3x + -19x = 45 + 19x + -19x Combine like terms: 3x + -19x = -16x 7 + -16x = 45 + 19x + -19x Combine like terms: 19x + -19x = 0 7 + -16x = 45 + 0 7 + -16x = 45 Add '-7' to each side of the equation. 7 + -7 + -16x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = 45 + -7 -16x = 45 + -7 Combine like terms: 45 + -7 = 38 -16x = 38 Divide each side by '-16'. x = -2.375 Simplifying x = -2.375
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