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Simplifying 6x + 2 + -1x = 4(2x + -3) + -1 Reorder the terms: 2 + 6x + -1x = 4(2x + -3) + -1 Combine like terms: 6x + -1x = 5x 2 + 5x = 4(2x + -3) + -1 Reorder the terms: 2 + 5x = 4(-3 + 2x) + -1 2 + 5x = (-3 * 4 + 2x * 4) + -1 2 + 5x = (-12 + 8x) + -1 Reorder the terms: 2 + 5x = -12 + -1 + 8x Combine like terms: -12 + -1 = -13 2 + 5x = -13 + 8x Solving 2 + 5x = -13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 5x + -8x = -13 + 8x + -8x Combine like terms: 5x + -8x = -3x 2 + -3x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -3x = -13 + 0 2 + -3x = -13 Add '-2' to each side of the equation. 2 + -2 + -3x = -13 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -13 + -2 -3x = -13 + -2 Combine like terms: -13 + -2 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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