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Simplifying 4(2x + -7) + x = 6x + -37 Reorder the terms: 4(-7 + 2x) + x = 6x + -37 (-7 * 4 + 2x * 4) + x = 6x + -37 (-28 + 8x) + x = 6x + -37 Combine like terms: 8x + x = 9x -28 + 9x = 6x + -37 Reorder the terms: -28 + 9x = -37 + 6x Solving -28 + 9x = -37 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 9x + -6x = -37 + 6x + -6x Combine like terms: 9x + -6x = 3x -28 + 3x = -37 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + 3x = -37 + 0 -28 + 3x = -37 Add '28' to each side of the equation. -28 + 28 + 3x = -37 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -37 + 28 3x = -37 + 28 Combine like terms: -37 + 28 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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