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Simplifying 4x + 7 = 2(2x + -4) + -8(x + -10) + -1 Reorder the terms: 7 + 4x = 2(2x + -4) + -8(x + -10) + -1 Reorder the terms: 7 + 4x = 2(-4 + 2x) + -8(x + -10) + -1 7 + 4x = (-4 * 2 + 2x * 2) + -8(x + -10) + -1 7 + 4x = (-8 + 4x) + -8(x + -10) + -1 Reorder the terms: 7 + 4x = -8 + 4x + -8(-10 + x) + -1 7 + 4x = -8 + 4x + (-10 * -8 + x * -8) + -1 7 + 4x = -8 + 4x + (80 + -8x) + -1 Reorder the terms: 7 + 4x = -8 + 80 + -1 + 4x + -8x Combine like terms: -8 + 80 = 72 7 + 4x = 72 + -1 + 4x + -8x Combine like terms: 72 + -1 = 71 7 + 4x = 71 + 4x + -8x Combine like terms: 4x + -8x = -4x 7 + 4x = 71 + -4x Solving 7 + 4x = 71 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + 4x + 4x = 71 + -4x + 4x Combine like terms: 4x + 4x = 8x 7 + 8x = 71 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 8x = 71 + 0 7 + 8x = 71 Add '-7' to each side of the equation. 7 + -7 + 8x = 71 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 71 + -7 8x = 71 + -7 Combine like terms: 71 + -7 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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