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Simplifying 142 + -1(6x + 3) = 6(x + 8) + x Reorder the terms: 142 + -1(3 + 6x) = 6(x + 8) + x 142 + (3 * -1 + 6x * -1) = 6(x + 8) + x 142 + (-3 + -6x) = 6(x + 8) + x Combine like terms: 142 + -3 = 139 139 + -6x = 6(x + 8) + x Reorder the terms: 139 + -6x = 6(8 + x) + x 139 + -6x = (8 * 6 + x * 6) + x 139 + -6x = (48 + 6x) + x Combine like terms: 6x + x = 7x 139 + -6x = 48 + 7x Solving 139 + -6x = 48 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 139 + -6x + -7x = 48 + 7x + -7x Combine like terms: -6x + -7x = -13x 139 + -13x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 139 + -13x = 48 + 0 139 + -13x = 48 Add '-139' to each side of the equation. 139 + -139 + -13x = 48 + -139 Combine like terms: 139 + -139 = 0 0 + -13x = 48 + -139 -13x = 48 + -139 Combine like terms: 48 + -139 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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