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Simplifying X + -19 + -1(6x + -7) + 4(-1x + -7) = 54 Reorder the terms: X + -19 + -1(-7 + 6x) + 4(-1x + -7) = 54 X + -19 + (-7 * -1 + 6x * -1) + 4(-1x + -7) = 54 X + -19 + (7 + -6x) + 4(-1x + -7) = 54 Reorder the terms: X + -19 + 7 + -6x + 4(-7 + -1x) = 54 X + -19 + 7 + -6x + (-7 * 4 + -1x * 4) = 54 X + -19 + 7 + -6x + (-28 + -4x) = 54 Reorder the terms: -19 + 7 + -28 + X + -6x + -4x = 54 Combine like terms: -19 + 7 = -12 -12 + -28 + X + -6x + -4x = 54 Combine like terms: -12 + -28 = -40 -40 + X + -6x + -4x = 54 Combine like terms: -6x + -4x = -10x -40 + X + -10x = 54 Solving -40 + X + -10x = 54 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '40' to each side of the equation. -40 + X + 40 + -10x = 54 + 40 Reorder the terms: -40 + 40 + X + -10x = 54 + 40 Combine like terms: -40 + 40 = 0 0 + X + -10x = 54 + 40 X + -10x = 54 + 40 Combine like terms: 54 + 40 = 94 X + -10x = 94 Add '10x' to each side of the equation. X + -10x + 10x = 94 + 10x Combine like terms: -10x + 10x = 0 X + 0 = 94 + 10x X = 94 + 10x Simplifying X = 94 + 10x
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