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Simplifying 5(x + -2) + 4(x + 7) = 2 + 3(2x + -1) + 4x Reorder the terms: 5(-2 + x) + 4(x + 7) = 2 + 3(2x + -1) + 4x (-2 * 5 + x * 5) + 4(x + 7) = 2 + 3(2x + -1) + 4x (-10 + 5x) + 4(x + 7) = 2 + 3(2x + -1) + 4x Reorder the terms: -10 + 5x + 4(7 + x) = 2 + 3(2x + -1) + 4x -10 + 5x + (7 * 4 + x * 4) = 2 + 3(2x + -1) + 4x -10 + 5x + (28 + 4x) = 2 + 3(2x + -1) + 4x Reorder the terms: -10 + 28 + 5x + 4x = 2 + 3(2x + -1) + 4x Combine like terms: -10 + 28 = 18 18 + 5x + 4x = 2 + 3(2x + -1) + 4x Combine like terms: 5x + 4x = 9x 18 + 9x = 2 + 3(2x + -1) + 4x Reorder the terms: 18 + 9x = 2 + 3(-1 + 2x) + 4x 18 + 9x = 2 + (-1 * 3 + 2x * 3) + 4x 18 + 9x = 2 + (-3 + 6x) + 4x Combine like terms: 2 + -3 = -1 18 + 9x = -1 + 6x + 4x Combine like terms: 6x + 4x = 10x 18 + 9x = -1 + 10x Solving 18 + 9x = -1 + 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. 18 + 9x + -10x = -1 + 10x + -10x Combine like terms: 9x + -10x = -1x 18 + -1x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -1x = -1 + 0 18 + -1x = -1 Add '-18' to each side of the equation. 18 + -18 + -1x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -1 + -18 -1x = -1 + -18 Combine like terms: -1 + -18 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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