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Simplifying 16(x + -16) = 35 + -1(6x + 71) Reorder the terms: 16(-16 + x) = 35 + -1(6x + 71) (-16 * 16 + x * 16) = 35 + -1(6x + 71) (-256 + 16x) = 35 + -1(6x + 71) Reorder the terms: -256 + 16x = 35 + -1(71 + 6x) -256 + 16x = 35 + (71 * -1 + 6x * -1) -256 + 16x = 35 + (-71 + -6x) Combine like terms: 35 + -71 = -36 -256 + 16x = -36 + -6x Solving -256 + 16x = -36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -256 + 16x + 6x = -36 + -6x + 6x Combine like terms: 16x + 6x = 22x -256 + 22x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 -256 + 22x = -36 + 0 -256 + 22x = -36 Add '256' to each side of the equation. -256 + 256 + 22x = -36 + 256 Combine like terms: -256 + 256 = 0 0 + 22x = -36 + 256 22x = -36 + 256 Combine like terms: -36 + 256 = 220 22x = 220 Divide each side by '22'. x = 10 Simplifying x = 10
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