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Simplifying 7(x + 9) + 3 = -3(x + -2) + -10 Reorder the terms: 7(9 + x) + 3 = -3(x + -2) + -10 (9 * 7 + x * 7) + 3 = -3(x + -2) + -10 (63 + 7x) + 3 = -3(x + -2) + -10 Reorder the terms: 63 + 3 + 7x = -3(x + -2) + -10 Combine like terms: 63 + 3 = 66 66 + 7x = -3(x + -2) + -10 Reorder the terms: 66 + 7x = -3(-2 + x) + -10 66 + 7x = (-2 * -3 + x * -3) + -10 66 + 7x = (6 + -3x) + -10 Reorder the terms: 66 + 7x = 6 + -10 + -3x Combine like terms: 6 + -10 = -4 66 + 7x = -4 + -3x Solving 66 + 7x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 66 + 7x + 3x = -4 + -3x + 3x Combine like terms: 7x + 3x = 10x 66 + 10x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 66 + 10x = -4 + 0 66 + 10x = -4 Add '-66' to each side of the equation. 66 + -66 + 10x = -4 + -66 Combine like terms: 66 + -66 = 0 0 + 10x = -4 + -66 10x = -4 + -66 Combine like terms: -4 + -66 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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