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Simplifying 4x + 7 + -2x + 1 = 8(x + -4) + 30 Reorder the terms: 7 + 1 + 4x + -2x = 8(x + -4) + 30 Combine like terms: 7 + 1 = 8 8 + 4x + -2x = 8(x + -4) + 30 Combine like terms: 4x + -2x = 2x 8 + 2x = 8(x + -4) + 30 Reorder the terms: 8 + 2x = 8(-4 + x) + 30 8 + 2x = (-4 * 8 + x * 8) + 30 8 + 2x = (-32 + 8x) + 30 Reorder the terms: 8 + 2x = -32 + 30 + 8x Combine like terms: -32 + 30 = -2 8 + 2x = -2 + 8x Solving 8 + 2x = -2 + 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. 8 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = -2 + 0 8 + -6x = -2 Add '-8' to each side of the equation. 8 + -8 + -6x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -2 + -8 -6x = -2 + -8 Combine like terms: -2 + -8 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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