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Simplifying X + -3(x + -6) + 4(x + 1) = 7x + -10 Reorder the terms: X + -3(-6 + x) + 4(x + 1) = 7x + -10 X + (-6 * -3 + x * -3) + 4(x + 1) = 7x + -10 X + (18 + -3x) + 4(x + 1) = 7x + -10 Reorder the terms: X + 18 + -3x + 4(1 + x) = 7x + -10 X + 18 + -3x + (1 * 4 + x * 4) = 7x + -10 X + 18 + -3x + (4 + 4x) = 7x + -10 Reorder the terms: 18 + 4 + X + -3x + 4x = 7x + -10 Combine like terms: 18 + 4 = 22 22 + X + -3x + 4x = 7x + -10 Combine like terms: -3x + 4x = 1x 22 + X + 1x = 7x + -10 Reorder the terms: 22 + X + 1x = -10 + 7x Solving 22 + X + 1x = -10 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + X + -22 + 1x = -10 + -22 + 7x Reorder the terms: 22 + -22 + X + 1x = -10 + -22 + 7x Combine like terms: 22 + -22 = 0 0 + X + 1x = -10 + -22 + 7x X + 1x = -10 + -22 + 7x Combine like terms: -10 + -22 = -32 X + 1x = -32 + 7x Add '-1x' to each side of the equation. X + 1x + -1x = -32 + 7x + -1x Combine like terms: 1x + -1x = 0 X + 0 = -32 + 7x + -1x X = -32 + 7x + -1x Combine like terms: 7x + -1x = 6x X = -32 + 6x Simplifying X = -32 + 6x
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