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Simplifying 13 + -8(x + -2) = 7(x + -4) + 46 Reorder the terms: 13 + -8(-2 + x) = 7(x + -4) + 46 13 + (-2 * -8 + x * -8) = 7(x + -4) + 46 13 + (16 + -8x) = 7(x + -4) + 46 Combine like terms: 13 + 16 = 29 29 + -8x = 7(x + -4) + 46 Reorder the terms: 29 + -8x = 7(-4 + x) + 46 29 + -8x = (-4 * 7 + x * 7) + 46 29 + -8x = (-28 + 7x) + 46 Reorder the terms: 29 + -8x = -28 + 46 + 7x Combine like terms: -28 + 46 = 18 29 + -8x = 18 + 7x Solving 29 + -8x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 29 + -8x + -7x = 18 + 7x + -7x Combine like terms: -8x + -7x = -15x 29 + -15x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -15x = 18 + 0 29 + -15x = 18 Add '-29' to each side of the equation. 29 + -29 + -15x = 18 + -29 Combine like terms: 29 + -29 = 0 0 + -15x = 18 + -29 -15x = 18 + -29 Combine like terms: 18 + -29 = -11 -15x = -11 Divide each side by '-15'. x = 0.7333333333 Simplifying x = 0.7333333333
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