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Simplifying 20(8x + -7) + 6x + 6 = 16(4x + -11) + 17x + -1 Reorder the terms: 20(-7 + 8x) + 6x + 6 = 16(4x + -11) + 17x + -1 (-7 * 20 + 8x * 20) + 6x + 6 = 16(4x + -11) + 17x + -1 (-140 + 160x) + 6x + 6 = 16(4x + -11) + 17x + -1 Reorder the terms: -140 + 6 + 160x + 6x = 16(4x + -11) + 17x + -1 Combine like terms: -140 + 6 = -134 -134 + 160x + 6x = 16(4x + -11) + 17x + -1 Combine like terms: 160x + 6x = 166x -134 + 166x = 16(4x + -11) + 17x + -1 Reorder the terms: -134 + 166x = 16(-11 + 4x) + 17x + -1 -134 + 166x = (-11 * 16 + 4x * 16) + 17x + -1 -134 + 166x = (-176 + 64x) + 17x + -1 Reorder the terms: -134 + 166x = -176 + -1 + 64x + 17x Combine like terms: -176 + -1 = -177 -134 + 166x = -177 + 64x + 17x Combine like terms: 64x + 17x = 81x -134 + 166x = -177 + 81x Solving -134 + 166x = -177 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. -134 + 166x + -81x = -177 + 81x + -81x Combine like terms: 166x + -81x = 85x -134 + 85x = -177 + 81x + -81x Combine like terms: 81x + -81x = 0 -134 + 85x = -177 + 0 -134 + 85x = -177 Add '134' to each side of the equation. -134 + 134 + 85x = -177 + 134 Combine like terms: -134 + 134 = 0 0 + 85x = -177 + 134 85x = -177 + 134 Combine like terms: -177 + 134 = -43 85x = -43 Divide each side by '85'. x = -0.5058823529 Simplifying x = -0.5058823529
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