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Simplifying -7 + x + 1 = 6(3x + -9) + -4(1 + 4x) Reorder the terms: -7 + 1 + x = 6(3x + -9) + -4(1 + 4x) Combine like terms: -7 + 1 = -6 -6 + x = 6(3x + -9) + -4(1 + 4x) Reorder the terms: -6 + x = 6(-9 + 3x) + -4(1 + 4x) -6 + x = (-9 * 6 + 3x * 6) + -4(1 + 4x) -6 + x = (-54 + 18x) + -4(1 + 4x) -6 + x = -54 + 18x + (1 * -4 + 4x * -4) -6 + x = -54 + 18x + (-4 + -16x) Reorder the terms: -6 + x = -54 + -4 + 18x + -16x Combine like terms: -54 + -4 = -58 -6 + x = -58 + 18x + -16x Combine like terms: 18x + -16x = 2x -6 + x = -58 + 2x Solving -6 + x = -58 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + x + -2x = -58 + 2x + -2x Combine like terms: x + -2x = -1x -6 + -1x = -58 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -1x = -58 + 0 -6 + -1x = -58 Add '6' to each side of the equation. -6 + 6 + -1x = -58 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -58 + 6 -1x = -58 + 6 Combine like terms: -58 + 6 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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