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Simplifying 5[2x + 1] + -3[x + -3] = 63 Reorder the terms: 5[1 + 2x] + -3[x + -3] = 63 [1 * 5 + 2x * 5] + -3[x + -3] = 63 [5 + 10x] + -3[x + -3] = 63 Reorder the terms: 5 + 10x + -3[-3 + x] = 63 5 + 10x + [-3 * -3 + x * -3] = 63 5 + 10x + [9 + -3x] = 63 Reorder the terms: 5 + 9 + 10x + -3x = 63 Combine like terms: 5 + 9 = 14 14 + 10x + -3x = 63 Combine like terms: 10x + -3x = 7x 14 + 7x = 63 Solving 14 + 7x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 63 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 63 + -14 7x = 63 + -14 Combine like terms: 63 + -14 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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