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Simplifying 6(x + -1) + 16(2x + 3) = 3(2x + -7) Reorder the terms: 6(-1 + x) + 16(2x + 3) = 3(2x + -7) (-1 * 6 + x * 6) + 16(2x + 3) = 3(2x + -7) (-6 + 6x) + 16(2x + 3) = 3(2x + -7) Reorder the terms: -6 + 6x + 16(3 + 2x) = 3(2x + -7) -6 + 6x + (3 * 16 + 2x * 16) = 3(2x + -7) -6 + 6x + (48 + 32x) = 3(2x + -7) Reorder the terms: -6 + 48 + 6x + 32x = 3(2x + -7) Combine like terms: -6 + 48 = 42 42 + 6x + 32x = 3(2x + -7) Combine like terms: 6x + 32x = 38x 42 + 38x = 3(2x + -7) Reorder the terms: 42 + 38x = 3(-7 + 2x) 42 + 38x = (-7 * 3 + 2x * 3) 42 + 38x = (-21 + 6x) Solving 42 + 38x = -21 + 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. 42 + 38x + -6x = -21 + 6x + -6x Combine like terms: 38x + -6x = 32x 42 + 32x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 32x = -21 + 0 42 + 32x = -21 Add '-42' to each side of the equation. 42 + -42 + 32x = -21 + -42 Combine like terms: 42 + -42 = 0 0 + 32x = -21 + -42 32x = -21 + -42 Combine like terms: -21 + -42 = -63 32x = -63 Divide each side by '32'. x = -1.96875 Simplifying x = -1.96875
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