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Simplifying X + -4(x + -3) + 7 = 6 + -1(x + -4) Reorder the terms: X + -4(-3 + x) + 7 = 6 + -1(x + -4) X + (-3 * -4 + x * -4) + 7 = 6 + -1(x + -4) X + (12 + -4x) + 7 = 6 + -1(x + -4) Reorder the terms: 12 + 7 + X + -4x = 6 + -1(x + -4) Combine like terms: 12 + 7 = 19 19 + X + -4x = 6 + -1(x + -4) Reorder the terms: 19 + X + -4x = 6 + -1(-4 + x) 19 + X + -4x = 6 + (-4 * -1 + x * -1) 19 + X + -4x = 6 + (4 + -1x) Combine like terms: 6 + 4 = 10 19 + X + -4x = 10 + -1x Solving 19 + X + -4x = 10 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + X + -19 + -4x = 10 + -19 + -1x Reorder the terms: 19 + -19 + X + -4x = 10 + -19 + -1x Combine like terms: 19 + -19 = 0 0 + X + -4x = 10 + -19 + -1x X + -4x = 10 + -19 + -1x Combine like terms: 10 + -19 = -9 X + -4x = -9 + -1x Add '4x' to each side of the equation. X + -4x + 4x = -9 + -1x + 4x Combine like terms: -4x + 4x = 0 X + 0 = -9 + -1x + 4x X = -9 + -1x + 4x Combine like terms: -1x + 4x = 3x X = -9 + 3x Simplifying X = -9 + 3x
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