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Simplifying x + -10(-6x + 4) = 6 + -1[-1(6x + -2) + 10(2 + -4x)] Reorder the terms: x + -10(4 + -6x) = 6 + -1[-1(6x + -2) + 10(2 + -4x)] x + (4 * -10 + -6x * -10) = 6 + -1[-1(6x + -2) + 10(2 + -4x)] x + (-40 + 60x) = 6 + -1[-1(6x + -2) + 10(2 + -4x)] Reorder the terms: -40 + x + 60x = 6 + -1[-1(6x + -2) + 10(2 + -4x)] Combine like terms: x + 60x = 61x -40 + 61x = 6 + -1[-1(6x + -2) + 10(2 + -4x)] Reorder the terms: -40 + 61x = 6 + -1[-1(-2 + 6x) + 10(2 + -4x)] -40 + 61x = 6 + -1[(-2 * -1 + 6x * -1) + 10(2 + -4x)] -40 + 61x = 6 + -1[(2 + -6x) + 10(2 + -4x)] -40 + 61x = 6 + -1[2 + -6x + (2 * 10 + -4x * 10)] -40 + 61x = 6 + -1[2 + -6x + (20 + -40x)] Reorder the terms: -40 + 61x = 6 + -1[2 + 20 + -6x + -40x] Combine like terms: 2 + 20 = 22 -40 + 61x = 6 + -1[22 + -6x + -40x] Combine like terms: -6x + -40x = -46x -40 + 61x = 6 + -1[22 + -46x] -40 + 61x = 6 + [22 * -1 + -46x * -1] -40 + 61x = 6 + [-22 + 46x] Combine like terms: 6 + -22 = -16 -40 + 61x = -16 + 46x Solving -40 + 61x = -16 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -40 + 61x + -46x = -16 + 46x + -46x Combine like terms: 61x + -46x = 15x -40 + 15x = -16 + 46x + -46x Combine like terms: 46x + -46x = 0 -40 + 15x = -16 + 0 -40 + 15x = -16 Add '40' to each side of the equation. -40 + 40 + 15x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = -16 + 40 15x = -16 + 40 Combine like terms: -16 + 40 = 24 15x = 24 Divide each side by '15'. x = 1.6 Simplifying x = 1.6
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