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Simplifying -15x + -3(-19x + 6) = 8(-16x + 19) Reorder the terms: -15x + -3(6 + -19x) = 8(-16x + 19) -15x + (6 * -3 + -19x * -3) = 8(-16x + 19) -15x + (-18 + 57x) = 8(-16x + 19) Reorder the terms: -18 + -15x + 57x = 8(-16x + 19) Combine like terms: -15x + 57x = 42x -18 + 42x = 8(-16x + 19) Reorder the terms: -18 + 42x = 8(19 + -16x) -18 + 42x = (19 * 8 + -16x * 8) -18 + 42x = (152 + -128x) Solving -18 + 42x = 152 + -128x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '128x' to each side of the equation. -18 + 42x + 128x = 152 + -128x + 128x Combine like terms: 42x + 128x = 170x -18 + 170x = 152 + -128x + 128x Combine like terms: -128x + 128x = 0 -18 + 170x = 152 + 0 -18 + 170x = 152 Add '18' to each side of the equation. -18 + 18 + 170x = 152 + 18 Combine like terms: -18 + 18 = 0 0 + 170x = 152 + 18 170x = 152 + 18 Combine like terms: 152 + 18 = 170 170x = 170 Divide each side by '170'. x = 1 Simplifying x = 1
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