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Simplifying 6(3x + -7) + -3(x + 8) = 6x + -202 + x Reorder the terms: 6(-7 + 3x) + -3(x + 8) = 6x + -202 + x (-7 * 6 + 3x * 6) + -3(x + 8) = 6x + -202 + x (-42 + 18x) + -3(x + 8) = 6x + -202 + x Reorder the terms: -42 + 18x + -3(8 + x) = 6x + -202 + x -42 + 18x + (8 * -3 + x * -3) = 6x + -202 + x -42 + 18x + (-24 + -3x) = 6x + -202 + x Reorder the terms: -42 + -24 + 18x + -3x = 6x + -202 + x Combine like terms: -42 + -24 = -66 -66 + 18x + -3x = 6x + -202 + x Combine like terms: 18x + -3x = 15x -66 + 15x = 6x + -202 + x Reorder the terms: -66 + 15x = -202 + 6x + x Combine like terms: 6x + x = 7x -66 + 15x = -202 + 7x Solving -66 + 15x = -202 + 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. -66 + 15x + -7x = -202 + 7x + -7x Combine like terms: 15x + -7x = 8x -66 + 8x = -202 + 7x + -7x Combine like terms: 7x + -7x = 0 -66 + 8x = -202 + 0 -66 + 8x = -202 Add '66' to each side of the equation. -66 + 66 + 8x = -202 + 66 Combine like terms: -66 + 66 = 0 0 + 8x = -202 + 66 8x = -202 + 66 Combine like terms: -202 + 66 = -136 8x = -136 Divide each side by '8'. x = -17 Simplifying x = -17
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