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Simplifying 2(-2x + 62) + -4(x + -16) = 2x + 3(-2x + -5) Reorder the terms: 2(62 + -2x) + -4(x + -16) = 2x + 3(-2x + -5) (62 * 2 + -2x * 2) + -4(x + -16) = 2x + 3(-2x + -5) (124 + -4x) + -4(x + -16) = 2x + 3(-2x + -5) Reorder the terms: 124 + -4x + -4(-16 + x) = 2x + 3(-2x + -5) 124 + -4x + (-16 * -4 + x * -4) = 2x + 3(-2x + -5) 124 + -4x + (64 + -4x) = 2x + 3(-2x + -5) Reorder the terms: 124 + 64 + -4x + -4x = 2x + 3(-2x + -5) Combine like terms: 124 + 64 = 188 188 + -4x + -4x = 2x + 3(-2x + -5) Combine like terms: -4x + -4x = -8x 188 + -8x = 2x + 3(-2x + -5) Reorder the terms: 188 + -8x = 2x + 3(-5 + -2x) 188 + -8x = 2x + (-5 * 3 + -2x * 3) 188 + -8x = 2x + (-15 + -6x) Reorder the terms: 188 + -8x = -15 + 2x + -6x Combine like terms: 2x + -6x = -4x 188 + -8x = -15 + -4x Solving 188 + -8x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 188 + -8x + 4x = -15 + -4x + 4x Combine like terms: -8x + 4x = -4x 188 + -4x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 188 + -4x = -15 + 0 188 + -4x = -15 Add '-188' to each side of the equation. 188 + -188 + -4x = -15 + -188 Combine like terms: 188 + -188 = 0 0 + -4x = -15 + -188 -4x = -15 + -188 Combine like terms: -15 + -188 = -203 -4x = -203 Divide each side by '-4'. x = 50.75 Simplifying x = 50.75
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