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Simplifying 4(x + 17) + 6(x + -13) = 5x + 29 Reorder the terms: 4(17 + x) + 6(x + -13) = 5x + 29 (17 * 4 + x * 4) + 6(x + -13) = 5x + 29 (68 + 4x) + 6(x + -13) = 5x + 29 Reorder the terms: 68 + 4x + 6(-13 + x) = 5x + 29 68 + 4x + (-13 * 6 + x * 6) = 5x + 29 68 + 4x + (-78 + 6x) = 5x + 29 Reorder the terms: 68 + -78 + 4x + 6x = 5x + 29 Combine like terms: 68 + -78 = -10 -10 + 4x + 6x = 5x + 29 Combine like terms: 4x + 6x = 10x -10 + 10x = 5x + 29 Reorder the terms: -10 + 10x = 29 + 5x Solving -10 + 10x = 29 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 10x + -5x = 29 + 5x + -5x Combine like terms: 10x + -5x = 5x -10 + 5x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 5x = 29 + 0 -10 + 5x = 29 Add '10' to each side of the equation. -10 + 10 + 5x = 29 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 29 + 10 5x = 29 + 10 Combine like terms: 29 + 10 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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