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Simplifying 7(x + 10) + 3 = -10(x + -4) + -5 Reorder the terms: 7(10 + x) + 3 = -10(x + -4) + -5 (10 * 7 + x * 7) + 3 = -10(x + -4) + -5 (70 + 7x) + 3 = -10(x + -4) + -5 Reorder the terms: 70 + 3 + 7x = -10(x + -4) + -5 Combine like terms: 70 + 3 = 73 73 + 7x = -10(x + -4) + -5 Reorder the terms: 73 + 7x = -10(-4 + x) + -5 73 + 7x = (-4 * -10 + x * -10) + -5 73 + 7x = (40 + -10x) + -5 Reorder the terms: 73 + 7x = 40 + -5 + -10x Combine like terms: 40 + -5 = 35 73 + 7x = 35 + -10x Solving 73 + 7x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 73 + 7x + 10x = 35 + -10x + 10x Combine like terms: 7x + 10x = 17x 73 + 17x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 73 + 17x = 35 + 0 73 + 17x = 35 Add '-73' to each side of the equation. 73 + -73 + 17x = 35 + -73 Combine like terms: 73 + -73 = 0 0 + 17x = 35 + -73 17x = 35 + -73 Combine like terms: 35 + -73 = -38 17x = -38 Divide each side by '17'. x = -2.235294118 Simplifying x = -2.235294118
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