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Simplifying x = 6(x + 19) + -4(x + 7) + 6(10 + -1x) Reorder the terms: x = 6(19 + x) + -4(x + 7) + 6(10 + -1x) x = (19 * 6 + x * 6) + -4(x + 7) + 6(10 + -1x) x = (114 + 6x) + -4(x + 7) + 6(10 + -1x) Reorder the terms: x = 114 + 6x + -4(7 + x) + 6(10 + -1x) x = 114 + 6x + (7 * -4 + x * -4) + 6(10 + -1x) x = 114 + 6x + (-28 + -4x) + 6(10 + -1x) x = 114 + 6x + -28 + -4x + (10 * 6 + -1x * 6) x = 114 + 6x + -28 + -4x + (60 + -6x) Reorder the terms: x = 114 + -28 + 60 + 6x + -4x + -6x Combine like terms: 114 + -28 = 86 x = 86 + 60 + 6x + -4x + -6x Combine like terms: 86 + 60 = 146 x = 146 + 6x + -4x + -6x Combine like terms: 6x + -4x = 2x x = 146 + 2x + -6x Combine like terms: 2x + -6x = -4x x = 146 + -4x Solving x = 146 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. x + 4x = 146 + -4x + 4x Combine like terms: x + 4x = 5x 5x = 146 + -4x + 4x Combine like terms: -4x + 4x = 0 5x = 146 + 0 5x = 146 Divide each side by '5'. x = 29.2 Simplifying x = 29.2
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