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Simplifying 2(3x + 5) + -3(7x + -3) = x + 7 Reorder the terms: 2(5 + 3x) + -3(7x + -3) = x + 7 (5 * 2 + 3x * 2) + -3(7x + -3) = x + 7 (10 + 6x) + -3(7x + -3) = x + 7 Reorder the terms: 10 + 6x + -3(-3 + 7x) = x + 7 10 + 6x + (-3 * -3 + 7x * -3) = x + 7 10 + 6x + (9 + -21x) = x + 7 Reorder the terms: 10 + 9 + 6x + -21x = x + 7 Combine like terms: 10 + 9 = 19 19 + 6x + -21x = x + 7 Combine like terms: 6x + -21x = -15x 19 + -15x = x + 7 Reorder the terms: 19 + -15x = 7 + x Solving 19 + -15x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + -15x + -1x = 7 + x + -1x Combine like terms: -15x + -1x = -16x 19 + -16x = 7 + x + -1x Combine like terms: x + -1x = 0 19 + -16x = 7 + 0 19 + -16x = 7 Add '-19' to each side of the equation. 19 + -19 + -16x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -16x = 7 + -19 -16x = 7 + -19 Combine like terms: 7 + -19 = -12 -16x = -12 Divide each side by '-16'. x = 0.75 Simplifying x = 0.75
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